Forschungsschwerpunkt Diskrete Mathematik

All Hamburg papers on structural graph theory

(click here for extremal/probabilistic papers)

Preprints:

On connected strongly-proportional cake-cutting (Zs. Jankó, A. Joó, E. Segal-Halevi, S. M. Yuen), preprint 2024; ArXiv
Free submonoids of hyperbolic monoids (M. Hamann), preprint 2024; ArXiv
A full Halin grid theorem (A. Georgakopoulos and M. Hamann), preprint 2024; ArXiv
Refining tree-decompositions so that they display the k-blocks (S. Albrechtsen), preprint 2024; ArXiv
A note on matching variables to equations (A. Joó), preprint 2023; ArXiv
The Lovász-Cherkassky theorem in infinite graphs (A. Joó), preprint 2023; ArXiv
On the ubiquity of oriented double rays (F. Gut, T. Krill and F. Reich), preprint 2023; ArXiv
Universal graphs with forbidden wheel minors (T. Krill), preprint 2023; ArXiv
The Complete Rational Number Game (N. Bowler and F. Gut), preprint 2023; ArXiv
The K⁴-Game (N. Bowler and F. Gut), preprint 2023; ArXiv
A structural duality for path-decompositions into parts of small radius (S. Albrechtsen, R. Diestel, A. Elm, E. Fluck, R. Jacobs, P. Knappe and P. Wollan), preprint 2023; ArXiv
Menger's Theorem in bidirected graphs (N. Bowler, E. Ghorbani, F. Gut, R. Jacobs and F. Reich), preprint 2023; ArXiv
The number of topological types of trees (T. Krill and M. Pitz), preprint 2023; ArXiv
Finite matchability under the matroidal Hall's condition (A. Joó), preprint 2023; ArXiv
Decomposition of (infinite) digraphs along directed 1-separations (N. Bowler, F. Gut, M. Hatzel, K.-i. Kawarabayashi, I. Muzi and F. Reich), preprint 2023; ArXiv
A Menger-type theorem for two induced paths (S. Albrechtsen, T. Huynh, R. Jacobs, P. Knappe and P. Wollan), preprint 2023; ArXiv
Optimal trees of tangles: refining the essential parts (S. Albrechtsen), preprint 2023; ArXiv
Refining trees of tangles in abstract separation systems I: Inessential parts (S. Albrechtsen), preprint 2023; ArXiv
A grid theorem for strong immersions of walls (R. Diestel, R. Jacobs, P. Knappe and P. Wollan), preprint 2023; ArXiv
Matching variables to equations in infinite linear equation systems (J. P. Gollin and A. Joó), to appear in Linear Algebra and Its Applications, preprint 2022; ArXiv
Ubiquity of oriented rays (F. Gut, T. Krill and F. Reich), to appear in Journal of Graph Theory, preprint 2022; ArXiv
On generalisations of the Aharoni-Pouzet base exchange theorem (Zs. Jankó & A. Joó), preprint 2022; ArXiv
Universal end-compactifications of locally finite graphs (M. Pitz and J. Ouborny), preprint 2022; ArXiv
Canonical graph decompositions via coverings (R. Diestel, R. Jacobs, P. Knappe and J. Kurkofka), preprint 2022; ArXiv
A representation theorem for end spaces of infinite graphs (J. Kurkofka and M. Pitz), preprint 2021; ArXiv
The Lovász-Cherkassky theorem in countable graphs (A. Joó), to appear in JCTB; ArXiv
Agile Sets in Graphs (C. Elbracht, J. Kneip, and M. Teegen), preprint 2021; ArXiv
On the Packing/Covering Conjecture of infinite matroids (A. Joó), to appear in Israel Journal of Mathematics, preprint 2021; ArXiv
Point sets and functions inducing tangles of set separations (R. Diestel, C. Elbracht and R. Jacobs), to appear in Journal of Combinatorics, preprint 2021; ArXiv
The Structure of Submodular Separation Systems (C. Elbracht, J. Kneip and M. Teegen), preprint 2021; ArXiv
The Unravelling Problem (C. Elbracht, J. Kneip and M. Teegen), preprint 2021; ArXiv
Hamiltonicity in infinite tournaments (R. Melcher), preprint 2021; ArXiv
Ubiquity in graphs III: Ubiquity of locally finite graphs with extensive tree-decompositions (N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer, M. Pitz, M. Teegen), preprint 2020; ArXiv
Edge-connectivity and tree-structure in finite and infinite graphs (C. Elbracht, J. Kurkofka and M. Teegen), preprint 2020; ArXiv
Forcing Hamiltonicity of locally finite graphs via forbidden induced subgraphs I: nets and bulls. (K. Heuer and D. Sarikaya), preprint 2020; ArXiv
Forcing Hamiltonicity of locally finite graphs via forbidden induced subgraphs II: paws (K. Heuer and D. Sarikaya), preprint 2020; ArXiv
A Cantor-Bernstein theorem for infinite matroids (A. Joó), to appear in Journal of Combinatorics, preprint 2020; ArXiv
Tangles: From Weak to Strong Clustering (C. Elbracht, D. Fioravanti, S. Klepper, J. Kneip, L. Rendsburg, M. Teegen and U. von Luxburg), preprint 2020; ArXiv
Ends of digraphs III: normal arborescences (Carl Bürger, Ruben Melcher), preprint 2020; ArXiv
Ends of digraphs II: the topological point of view (Carl Bürger, Ruben Melcher), preprint 2020; ArXiv
Ends of digraphs I: basic theory (Carl Bürger, Ruben Melcher), preprint 2020; ArXiv
Ends as tangles (J. Kneip), preprint 2019; PDF
Profinite tree sets (J. Kneip), preprint 2019; PDF
The Complete Lattice of Erdős-Menger Separations (A. Joó), preprint 2019; ArXiv
Ubiquity in graphs II: Ubiquity of graphs with nowhere-linear end structure (N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer, M. Pitz, M. Teegen), preprint 2018; ArXiv
Cofinitary nearly finitary matroids are l-nearly finitary for some natural number l (A. Elm), preprint 2018; PDF
A zero-sum problem on graphs (D. Weißauer), preprint 2016; PDF
Countable connected-homogeneous digraphs (Matthias Hamann), preprint 2014; PDF

2024:

Efficiently distinguishing all tangles in locally finite graphs (R. Jacobs and P. Knappe), Journal of Combinatorial Theory B 167 (2024), 189-214; ArXiv
The immersion-minimal infinitely edge-connected graph (P. Knappe and J. Kurkofka), Journal of Combinatorial Theory B 164 (2024), 492-516; ArXiv
Well-quasi-ordering Friedman ideals of finite trees: proof of Robertson’s magic-tree conjecture (N. Bowler, Y. Nigussie), JCTB 164 (2024), 222-244; PDF / Journal

2023:

Halin's end degree conjecture (S. Geschke, J. Kurkofka, R. Melcher and M. Pitz), Israel Journal of Mathematics 253.2 (2023), 617-645.; ArXiv
N-arc connected graphs (P. Gartside, A. Mamatelashvili and M. Pitz), Colloquium Mathematicum 171 (2023); ArXiv
Eulerian spaces (P. Gartside and M. Pitz), Memoirs of the American Mathematical Society 292 (2023); ArXiv
Universal graphs for the topological minor relation (T. Krill), Journal of Graph Theory 104(4) (2023), 683-696; ArXiv
The Lovász-Cherkassky theorem for locally finite graphs with ends (R. Jacobs, A. Joó, P. Knappe, J. Kurkofka, and R. Melcher), Discrete Mathematics, Volume 346, Issue 12, 2023, 113586; ArXiv / Journal
Maker-Breaker games on K_ω₁ and K_ω,ω₁ (N. Bowler, F. Gut, A. Joó and M. Pitz), Journal of Symbolic Logic 88(2) (2023), 697-703; open access
Large vertex-flames in uncountable digraphs (F. Gut & A. Joó), Israel Journal of Mathematics (2023); ArXiv
End spaces and tree-decompositions (M. Koloschin, T. Krill, and M. Pitz), JCTB 161 (2023), 147-179; ArXiv
The K^ℵ₀-game: vertex colouring (Nathan Bowler, Marit Emde & Florian Gut), Mathematika 69 (3) (2023), 584-599; open access

2022:

A tree-of-tangles theorem for infinite-order tangles in graphs (A. Elm & J. Kurkofka), Abhandlungen aus dem Mathematischen Seminar der UHH 92 (2022), 139–178; ArXiv
Countably determined ends and graphs (J. Kurkofka and R. Melcher), JCTB 148 (2022), 173-183; ArXiv
Constructing tree-decompositions that display all topological ends (M. Pitz), Combinatorica 42.5 (2022), 763-769. ArXiv
A strengthening of Halin's grid theorem (J. Kurkofka, R. Melcher and M. Pitz), Mathematika 68(4) (2022), 1009-1013; ArXiv
A Stallings type theorem for quasi-transitive graphs (Matthias Hamann, Florian Lehner, Babak Miraftab and Tim Rühmann), JCTB 157 (2022), 40-69; Arxiv
Characterising k-connected sets in infinite graphs (J.P. Gollin and K. Heuer), JCTB 157 (2022), 451-499; ArXiv
Ubiquity in graphs I: Topological ubiquity of trees (N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer, M. Pitz, M. Teegen), JCTB 157 (2022), 70-95; ArXiv
Canonical trees of tree-decompositions (J. Carmesin, M. Hamann & B. Miraftab), JCTB 152 (2022), 1-26; ArXiv
A note on minor antichains of uncountable graphs (M. Pitz) J. Graph Theory (2022); ArXiv
Obtaining trees of tangles from tangle-tree duality (C. Elbracht, J. Kneip and M. Teegen), J. Combinatorics 13 (2022), 251-287; ArXiv
Cutting a cake for infinitely many guests (Zs. Jankó & A. Joó), Electronic Journal of Combinatorics, Volume 29, Issue 1, P1.42 (2022); open access
Duality and tangles of set separations (R. Diestel, C. Elbracht, Joshua Erde & M. Teegen), Journal of Combinatorics (2022); ArXiv
End-faithful spanning trees in graphs without normal spanning trees (C. Bürger & J. Kurkofka), Journal of Graph Theory (2022); ArXiv
Every infinitely edge-connected graph contains the Farey graph or T_{\aleph_0}*t as a minor (J. Kurkofka), Mathematische Annalen 382 (2022), 1881-1900; ArXiv
Duality theorems for stars and combs I: Arbitrary stars and combs (C. Bürger & J. Kurkofka), Journal of Graph Theory 99(4) (2022), 525-554; ArXiv
Duality theorems for stars and combs II: Dominating stars and dominated combs (C. Bürger & J. Kurkofka), Journal of Graph Theory 99(4) (2022), 555-572; ArXiv
Duality theorems for stars and combs III: Undominated combs (C. Bürger & J. Kurkofka), Journal of Graph Theory 100(1) (2022), 127-139; ArXiv
Duality theorems for stars and combs IV: Undominating stars (C. Bürger & J. Kurkofka), Journal of Graph Theory 100(1) (2022), 140-162; ArXiv

2021:

Brownian motion on graph-like spaces (A. Georgakopoulos and K. Kolesko), Studia Mathematica (2021); PDF
Splitting groups with cubic Cayley graphs of connectivity two (Babak Miraftab and Konstantinos Stavropoulos), Algebraic Combinatorics, Volume 4 (2021); ArXiv
Proof of Halin's normal spanning tree conjecture (M. Pitz) Israel J. Math. 246 (2021), 353-370 ;ArXiv
A new obstruction for normal spanning trees (M. Pitz) Bull. London Math. Soc. 53 (2021) 1220-1227; ArXiv
Quickly proving Diestel's normal spanning tree criterion (M. Pitz) Electron. J. Comb. 28(3) (2021), P3.59; ArXiv
Greedoids from flames (A. Joó), Journal of Graph Theory, Volume 98, Issue 1, 2021, Pages 49-56, (2021); ArXiv
On the intersection conjecture for infinite trees of matroids (N. Bowler and J. Carmesin), Journal of Combinatorial Theory, Series B, 151 (2021), 46-82; PDF
The Farey graph is uniquely determined by its connectivity (J. Kurkofka), Journal of Combinatorial Theory, Series B, 151 (2021), 223-234; ArXiv
Proof of Nash-Williams' Intersection Conjecture for countable matroids (A. Joó), Advances in Mathematics 380 (2021) p. 107608; open access
Enlarging vertex-flames in countable digraphs (J. Erde, J. P. Gollin, A. Joó), Journal of Combinatorial Theory, Series B, 151, (2021), 263-281; open access
Intersection of a partitional and a general infinite matroid (A. Joó), Discrete Mathematics, Volume 344, Issue 9, 2021, 112514 open access
Greedoids from flames (A. Joó), Journal of graph theory, Volume 98, Issue 1, Pages 49-56, 2021; ArXiv
Trees of tangles in infinite separation systems (C. Elbracht, J. Kneip and M. Teegen), Mathematical Proceedings of the Cambridge Philosophical Society 173(2) (2022); ArXiv
A canonical tree-of-tangles theorem for structurally submodular separation systems (C. Elbracht and J. Kneip), Combinatorial Theory 1 (2021); ArXiv
On the infinite Lucchesi-Younger conjecture I (J.P. Gollin & K. Heuer), Journal of Graph Theory 98.1 (2021), 27-48.; ArXiv
Ubiquity and the Farey graph (J. Kurkofka), European J. Combin., 95 (2021), 103326; ArXiv
Trees of tangles in abstract separation systems (C. Elbracht, J. Kneip and M. Teegen), J. Combin. Theory (Series A), 180 (2021), 105425; ArXiv
On partitioning the edges of an infinite digraph into directed cycles (A. Joó), Advances in Combinatorics, 2021:2, 8 pp.; PDF
Approximating infinite graphs by normal trees (J. Kurkofka, R. Melcher and M. Pitz), J. Combin. Theory (Series B), 148 (2021), 173-183; ArXiv
Proof of Halin's normal spanning tree conjecture (Max Pitz), Israel Journal of Mathematics 246.1 (2021), 353-370; (ArXiv)
Base partition for mixed families of finitary and cofinitary matroids (J. Erde, P. Gollin, A. Joó, P. Knappe, M. Pitz), Combinatorica 41 (2021) 31-52; ArXiv
A Cantor-Bernstein-type theorem for spanning trees in infinite graphs (J. Erde, P. Gollin, A. Joó, P. Knappe, M. Pitz) J. Combin. Theory (Series B) 149 (2021) 16-22; ArXiv
Tangle-tree duality in abstract separation systems (R. Diestel and S. Oum), Adv. Math 377 (2021); PDF
Tangles and the Stone-Čech compactification of infinite graphs (J. Kurkofka and M. Pitz), J. Combin. Theory (Series B) 146 (2021), 34-60; Journal/ ArXiv
An analogue of Edmonds' Branching Theorem for infinite digraphs (J.P. Gollin & K. Heuer), Europ. J. Comb 92 (2021); ArXiv
Homological aspects of hypergraphs (R. Diestel); ArXiv

2020:

Circuits through prescribed edges (P. Knappe and M. Pitz), J. Graph Theory, 93(4) (2020) 470-482; Journal/ ArXiv
On the growth rate of dichromatic numbers of finite subdigraphs (A. Joó), Discrete Mathematics, Volume 343, Issue 3, 111735, 2020; open access
Uncountable dichromatic number without short directed cycles (A. Joó), Journal of Graph Theory, Volume 94, Issue 1, Pages 113-116, 2020; open access
Graph-like compacta: characterizations and eulerian loops (B. Espinoza, P. Gartside and M. Pitz),Journal of Graph Theory, Volume 95, Issue 2, (2020), 209-239; Journal/ ArXiv
Directed path-decompositions (J. Erde), SIAM Journal on Discrete Mathematics, Volume 34, Issue 1, 2020; Journal/ ArXiv
Reducing the dichromatic number via cycle reversions in infinite digraphs (P. Ellis, A. Joó, D. T. Soukup), European Journal of Combinatorics, Volume 90, Pages 103196, 2020 open access
Hamilton decompositions of one-ended Cayley graphs (Joshua Erde, Florian Lehner and Max Pitz), J. Combin. Theory (Series B), 140 (2020) 171-191; PDF
A unified existence theorem for normal spanning trees (Max Pitz), J. Combin. Theory (Series B), 145 (2020), 466-469; ArXiv
Representations of infinite tree sets (J.P. Gollin and J. Kneip), Order 38 (2020); ArXiv
Tangles are decided by weighted vertex sets (C. Elbracht, J. Kneip and M. Teegen), Advances in Combinatorics, 2020:9; ArXiv
Separations of sets (N. Bowler & J. Kneip), Order 37 (2020), 411-425; ArXiv
Profinite separation systems (R. Diestel and J. Kneip), Order 37 (2020), 179-205; short/ long version
Every planar graph with the Liouville property is amenable (J. Carmesin and A. Georgakopoulos), RSA 57 (2020), 706-729; PDF
Partitioning edge-coloured infinite complete bipartite graphs into monochromatic paths (C. Bürger, M. Pitz), Israel J. Math 238 (2020), 479-500; ArXiv

2019:

Bounding the cop number of a graph by its genus (N. Bowler, J. Erde, F. Lehner and M. Pitz), SIAM J. Discrete Math. 35(4) (2021), 2459-2489. ArXiv
All graphs have tree-decompositions displaying their topological ends (J. Carmesin), Combinatorica 39 (2019), 545–596; PDF
Vertex-flames in countable rooted digraphs preserving an Erdős-Menger separation for each vertex (A. Joó), Combinatorica, V. 39, P. 1317-1333, 2019; ArXiv
The planar Cayley graphs are effectively enumerable (Agelos Georgakopoulos & Matthias Hamann), Combinatorica 39, (2019), 993-1019. Journal PDF
On the block number of graphs (D. Weißauer), SIAM J. Discret.Math. 33 (2019), 346-357.ArXiv
Tangle-tree duality: in graphs, matroids and beyond (R. Diestel and S. Oum), Combinatorica 39 (2019), 879-910; PDF.
N-arc and n-circle connected graph-like spaces (P. Gartside and M. Pitz) Topology Appl. 256 (2019) 7-25. ArXiv
Structural submodularity and tangles in abstract separation systems (R. Diestel, J. Erde and D. Weißauer), JCTA 167C (2019), 155-180; PDF
Profiles of separations: in graphs, matroids and beyond (R. Diestel, F. Hundertmark and S. Lemanczyk), Combinatorica 39 (2019), 37–75; PDF
Ends, tangles and critical vertex sets (J. Kurkofka and M. Pitz), Math. Nachrichten 292(9) (2019), 2072-2091; Journal / ArXiv
Peripheral circuits in infinite binary matroids (N. Bowler, R. Christian and R. B. Richter), JCTB 134 (2019), p285-308; PDF.
In absence of long chordless cycles, large tree-width becomes a local phenomenon (D. Weißauer), JCTB 139 (2019), 342-352; PDF
Algebraically grid-like graphs have large tree-width (D. Weißauer), Electronic J. Comb. 26 (2019), #P1.15; PDF
The colouring number of infinite graphs (N. Bowler, J. Carmesin, C. Reiher), Combinatorica 39 (2019), 1225–1235; PDF
Tangles in the social sciences (R. Diestel); ArXiv
Self-embeddings of trees (Matthias Hamann), Discrete Mathematics 342 (2019), 111586; PDF

2018:

Planar transitive graphs (Matthias Hamann), Combinatorica volume 38, pages 847–859 (2018) PDF
Two-ended quasi-transitive graphs (Babak Miraftab and Tim Rühmann); Arxiv
From cycles to circles in Cayley graphs (Babak Miraftab and Tim Rühmann), The Electronic Journal of Combinatorics, Volume 25, Issue 2 (2018) PDF
Accessibility in transitive graphs (Matthias Hamann), Combinatorica 38 (2018), 847–859; PDF
Planar transitive graphs (Matthias Hamann), Electonic J. COmbin. 25 (2018), #4.8; PDF
Hamilton circles in Cayley graphs (Babak Miraftab and Tim Rühmann), Electron. J. Combin. 25 (2018), #P2.5; PDF
Isoperimetry in integer lattices (Ben Barber and Joshua Erde), Discrete Analysis, Volume 7 (2018); PDF
Hamiltonicity in locally finite graphs: two extensions and a counterexample (K. Heuer), Electron. J. Comb. 25 (2018), #P3.13; PDF
Hamilton cycles in infinite cubic graphs (M. Pitz), Electron. J. Comb. 25 (2018), #P3.3 ArXiv
Minimal obstructions for normal spanning trees (N. Bowler, S. Geschke and M. Pitz), Fund. Math. 241 (2018), 245–263; PDF.
Connected tree-width (R. Diestel and M. Müller), Combinatorica 38 (2018), 381-398; PDF
On the intersection of infinite matroids (E. Aigner-Horev, J. Carmesin and J. Fröhlich), Discrete Mathematics 341 (2018), 1582-1596; PDF
An excluded minors method for infinite matroids (N. Bowler and J. Carmesin), Journal of Combinatorial Theory Series B 128 (2018), 104-113; PDF
Infinite graphic matroids, Part I (N. Bowler, J. Carmesin and R. Christian), Combinatorica 38 (2018), 305-339; ArXiV
Topological infinite gammoids and a new Menger-type theorem for infinite graphs (J. Carmesin), Electronic J. Comb. 25 (2018) #P3.38; PDF
Reconstructing infinite matroids from their 3-connected minors (N. Bowler, J. Carmesin and L. Postle), Europ. J. Comb 67 (2018), 126-144; PDF
A unified treatment of linked and lean tree-decompositions (J. Erde), JCTB 130 (2018), 114-143; ArXiv
Accessibility in transitive graphs (Matthias Hamann), Combinatorica 38 (2018), 847–859; PDF
Abstract separation systems (R. Diestel), Order 35 (2018), 157-170; PDF
Tree sets (R. Diestel), Order 35 (2018), 171-192; PDF
On the tree-likeness of hyperbolic spaces (Matthias Hamann), Math. Proc. Cambridge Philos. Soc. 164 (2018), 345-361; PDF
Countable Menger's Theorem with Finitary Matroid Constraints on the Ingoing Edges (A. Joó), Electronic J. Comb. 25 (2018), #P3.12; PDF
Gomory-Hu trees of infinite graphs with finite total weight (A. Joó), Journal of Graph Theory 95 (1) (2018), 222-231; PDF
Partitioning edge-coloured complete symmetric digraphs into monochromatic complete subgraphs (C. Bürger, L. DeBiasio, H. Guggiari, M. Pitz), Discrete Math. 341 (2018), 3134-3140; ArXiv
Infinite end-devouring sets of rays with prescribed start vertices (J.P. Gollin and K. Heuer), Discrete Math. 341 (2018), 2117–2120; ArXiv
Clique trees of infinite locally finite chordal graphs. (Christoph Hofer-Temmel & Florian Lehner), Electron. J. Combin. 25 (2018), #P2.9; PDF

2017:

Breaking graph symmetries by edge colourings (Florian Lehner), Journal of Combinatorial Theory, Series B 127, 205-214, 2017; PDF
The classification of finite and locally finite connected-homogeneous digraphs (Matthias Hamann), Combinatorica 37 (2017), 183-222; PDF
Duality theorems for blocks and tangles in graphs (R. Diestel, J. Erde and Ph. Eberenz), SIAM Journal on Discrete Mathematics 31 (2017), 1514-1528; PDF
Ends and tangles (R. Diestel), Abhandlungen Math. Sem. Univ. Hamburg 87 (2017), 223–244; PDF
Dual trees must share their ends (R. Diestel and J. Pott), J. Combin. Theory (Series B) 123 (2017) 32-53; PDF
A counterexample to the reconstruction conjecture for locally finite trees (N. Bowler, J. Erde, P. Heinig, F. Lehner, M. Pitz), Bulletin of the London Mathematical Society 49 (4) (2017) 630-648; PDF
Canonical tree-decompositions of a graph that display its k-blocks (J. Carmesin and P. Gollin), JCTB 122 (2017), 1-20; ArXiv
Topological cycle matroids of infinite graphs (J. Carmesin), European J. Combin. 60 (2017), 135–150; PDF
Group actions on metric spaces: fixed points and free subgroups (Matthias Hamann), Abh. Math. Semin. Univ. Hambg. 87 (2017), 245-263; PDF
The classification of finite and locally finite connected-homogeneous digraphs (Matthias Hamann), Combinatorica 37 (2017), 183-222; PDF
Refining a tree-decomposition which distinguishes tangles (J. Erde), SIAM Journal on Discrete Mathematics 31 (2017), 1529–1551; ArXiv
Algebraic flow theory of infinite graphs (Babak Miraftab and Mohamadjavad Moghadamzadeh), Europ. J. Combinatorics 62 (2017), 58-69.; PDF
A Liouville hyperbolic souvlaki (Johannes Carmesin, Bruno Frederici and Agelos Georgakopoulos), Electron. J. Probab. 22 (2017), paper no. 36, 19 pages; PDF
Packing countably many branchings with prescribed root-sets in infinite digraphs (A. Joó), Journal of Graph Theory, Volume 87, Number 1, Pages 96-107, 2017; PDF
Highly connected infinite digraphs without edge-disjoint back and forth paths between a certain vertex pair (A. Joó), Journal of Graph Theory, Volume 85, Number 1, Pages 51-55, 2017; PDF
Decomposing edge-coloured complete symmetric digraphs into monochromatic paths (C. Bürger, M. Pitz), manuscript 2017; ArXiv
Excluding a full grid minor (K. Heuer), Abhandlungen Math. Sem. Univ. Hamburg 87 (2017), Special volume in memory of Rudolf Halin, 265-274; PDF

2016:

Canonical tree-decompositions of finite graphs I. Existence and algorithms (J. Carmesin, R. Diestel, M. Hamann and F. Hundertmark), JCTB 116 (2016), 1–24; PDF
Canonical tree-decompositions of finite graphs II. Essential parts (J. Carmesin, R. Diestel, M. Hamann and F. Hundertmark), JCTB 118 (2016), 268–283; PDF
A short proof that every finite graph has a tree-decomposition displaying its tangles (J. Carmesin), European J. Combin. 58 (2016), 61–65; PDF
Extending cycles locally to Hamilton cycles (M. Hamann, F. Lehner, J. Pott), Electron. J. Combin. 23 (2016), #P1.49; PDF
A sufficient local degree condition for the hamiltonicity of locally finite claw-free graphs (K. Heuer), Europ. J. Comb. 55 (2016), 82-99; PDF
A simple existence criterion for normal spanning trees in infinite graphs (R. Diestel), Electronic J. Comb. 23 (2016), #P2.33; PDF
The structure of 2-separations of infinite matroids (E. Aigner-Horev, R. Diestel and L. Postle), JCTB 116 (2016), 25–56; PDF
Self-dual uniform matroids on infinite sets (N. Bowler and St. Geschke), Proceedings of the American Mathematical Society 144 (2016), 459-471; PDF
Spanning trees in hyperbolic graphs (Matthias Hamann), Combinatorica 36 (2016), 313–332; PDF
Bounding connected tree-width (M. Hamann & D. Weißauer), SIAM Journal on Discrete Mathematics 30 (2016), 1391-1400; PDF
Edmonds' branching theorem in digraphs without forward-infinite paths (A. Joó), Journal of Graph Theory 83 (3) (2016), 303-311; PDF
Inverse Limits and Topologies of Infinite Graphs (B. Miraftab); ArXiv
Tangles and the Mona Lisa (R. Diestel & G. Whittle); ArXiv

2015:

Edge-disjoint double rays in infinite graphs: a Halin type result (N. Bowler, J. Carmesin, J. Pott), JCTB 111 (2015), 1-16; ArXiv
Forcing finite minors in sparse infinite graphs by large-degree assumptions (R. Diestel), Electronic J. Combinatorics 22 (2015), #P1.43; PDF
A sufficient condition for Hamiltonicity in locally finite graphs (K. Heuer), Europ. J. Combinatorics 45 (2015), 97-114; PDF
Contractible edges in 2-connected locally finite graphs (Tsz Lung Chan), Electronic J. Comb 22 (2015) #P2.47; PDF
Thin sums matroids and duality (H. Afzali and N. Bowler), Adv. Math 271 (2015), 1-29; PDF
Matroid intersection, base packing and base covering for infinite matroids (N. Bowler and J. Carmesin), Combinatorica 35 (2015), 153–180; PDF
Infinite gammoids (H. Afzali, Hiu-Fai Law and M. Müller), Electronic J. Comb. 22 (2015), #P1.53; PDF
Forcing finite minors in sparse infinite graphs by large-degree assumptions (R. Diestel), Electron. J. Combin. 22 (2015), #P1.43; PDF

2014:

Infinite trees of matroids (N. Bowler and J. Carmesin); ArXiv
k-Blocks: a connectivity invariant for graphs (J. Carmesin, R. Diestel, M. Hamann and F. Hundertmark), SIDMA 28 (2014), 1876-1891; PDF
Connectivity and tree-structure in finite graphs (J. Carmesin, R. Diestel, F. Hundertmark and M. Stein), Combinatorica 34 (2014), 1–35; PDF
Orthogonality and minimality in the homology of locally finite graphs (R. Diestel and J. Pott), Electronic J. Comb. 21 (2014), #P3.36; PDF
On graph-like continua of finite length (A. Georgakopoulos), Topol. Appl. (2014), 188-208; PDF
Matroids with an infinite circuit-cocircuit intersection (N. Bowler and J. Carmesin), Journal of Combinatorial Theory Series B 107 (2014), 78-91; PDF
Even an infinite bureaucracy eventually makes a decision (J. Carmesin), preprint 2014; ArXiv
Matroid and Tutte-connectivity in infinite graphs (H. Bruhn), Electronic J. Comb. 21 (2014), #P2.14; PDF

2013:

The classification of connected-homogeneous digraphs with more than one end (Matthias Hamann & Fabian Hundertmark), Transactions AMS 365 (2013), 531-553; PDF
Homogeneous 2-partite digraphs (Matthias Hamann), Discrete Math 327 (2013), 36-39; PDF
Axioms for infinite matroids (H. Bruhn, R. Diestel, M. Kriesell, R. Pendavingh and P. Wollan), Adv. Math 239 (2013), 18-46; PDF
The ubiquity of Psi-matroids (N. Bowler and J. Carmesin); ArXiv
Infinite matroids and determinacy of games (N. Bowler and J. Carmesin); ArXiv
Classes of locally finite ubiquitous graphs (Th. Andreae), JCTB 103 (2013), 274-290; PDF

2012:

Transitivity conditions in infinite graphs (Matthias Hamann & Julian Pott), Combinatorica 32 (2012), 649-688; PDF
End-transitive graphs (Matthias Hamann), Israel Journal of Mathematics 189 (2012), 437-459; PDF
Generating the cycles space of planar graphs (Matthias Hamann), Electonic J. Combinatorics 22 (2012), #P2.34; PDF
On the excluded minor structure theorem for graphs of large tree-width (Reinhard Diestel, Ken-ichi Kawarabayashi, Theo Müller and Paul Wollan), J. Combin. Theory (Series B) 102 (2012), 1189-1210; PDF
Cycle decompositions: from graphs to continua (A. Georgakopoulos), Advances Math. 229 (2012), 935-967; ArXiv
The Erdös-Pósa property for clique minors in highly connected graphs (Reinhard Diestel, Ken-ichi Kawarabayashi and Paul Wollan), J. Combin. Theory (Series B) 102 (2012), 454-469; PDF
Finite connectivity in infinite matroids (H. Bruhn and P. Wollan), Europ. J. Comb 33 (2012), 1900-1912; PDF
A characterization of the locally finite networks admitting non-constant harmonic functions of finite energy (Johannes Carmesin), Potential Analysis 37 (2012), 229-245; PDF
On fixing boundary points of transitive hyperbolic graphs (Agelos Georgakopoulos & Matthias Hamann), Arch. Math. (Basel) 99 (2012), 91-99; PDF

2011:

Extremal infinite graph theory (survey) (M. Stein), Infinite Graph Theory special volume of Discrete Math. 311 (2011), 1472–1496; PDF
Bases and closures under infinite sums (H. Bruhn and A. Georgakopoulos), Linear Algebra and its Applications 435 (2011), 2007-2018; PDF
Eulerian edge sets in locally finite graphs (E. Berger and H. Bruhn), Combinatorica 31 (2011), 21-38; PDF
On the homology of locally compact spaces with ends (R. Diestel and P. Sprüssel), Topology and its Applications 158 (2011), 1626-1639;s PDF
The fundamental group of a locally finite graph with ends (R. Diestel and P. Sprüssel), Advances Math. 226 (2011), 2643-2675; abstract/ PDF
Graph topologies induced by edge lengths (A. Georgakopoulos), Discrete Math. 311 (special issue 2011), 1523-1542; PDF
Locally finite graphs with ends: a topological approach I–III (R. Diestel), Discrete Math 311–312 (2010–11); PDF of parts I–II
Linear connectivity forces large complete bipartite minors: An alternative approach (Jan-Oliver Fröhlich and Theo Müller), J. Combin. Theory (Series B), 101 (2011), 502–508; ArXiv
Infinite matroids in graphs (H. Bruhn & R. Diestel), in the Infinite Graph Theory special volume of Discrete Math 311 (2011), 1461-1471; PDF
The max-flow min-cut theorem for countable networks (Section 8) (R. Aharoni, E. Berger, Agelos Georgakopoulos, A. Perlstein and Philipp Sprüssel), J. Combin. Theory B 101 (2011), 1–17; PDF
Twins of rayless graphs (A. Bonato, H. Bruhn, R. Diestel and P. Sprüssel), J. Combin. Theory (Series B) 101 (2011), 60-65; PDF
Profiles. An algebraic approach to combinatorial connectivity (Fabian Hundertmark); ArXiv

2010:

Ends and vertices of small degree in infinite minimally k-(edge-)connected graphs (M. Stein), SIAM J. Discrete Math. 24 (2010), 1584–1596; PDF
The homology of locally finite graphs with ends (R. Diestel and P. Sprüssel), Combinatorica 30 (2010), 681-714; abstract/ journal version/ extended version
Uniqueness of electrical currents in a network of finite total resistance (Agelos Georgakopoulos), J. London Math. Soc. 82 (2010), 256–272; PDF
Every rayless graph has an unfriendly partition (H. Bruhn, R. Diestel, A. Georgakopoulos and P. Sprüssel), Combinatorica 30 (2010), 521-532; PDF

2009:

MacLane's theorem for arbitrary surfaces (R. Diestel and H. Bruhn), J. Combin. Theory (Series B) 99 (2009) 275-286; short; extended
Infinite Hamilton cycles in squares of locally finite graphs (A. Georgakopoulos), Advances Math., 220 (2009), 670-705; PDF
Geodetic topological cycles in locally finite graphs (A. Georgakopoulos and P. Sprüssel), Electronic J. Comb. 16:#R144 (2009); PDF
Bicycles and left-right tours in locally finite graphs (H. Bruhn, S. Kosuch and M. Win Myint), Europ. J. Combinatorics 30 (2009), 356-371; PDF
Topological circles and Euler tours in locally finite graphs (A. Georgakopoulos), Electronic J. Comb. 16:#R40 (2009); PDF
Duality of ends (H. Bruhn & M. Stein), Combinatorics, Probability and Computing 12 (2009), 47-60; PDF

2008:

Hamilton cycles in planar locally finite graphs (H. Bruhn and X. Yu), SIAM. J. Discrete Math. 22 (2008), 1381-1392; PDF
End spaces of graphs are normal (P. Sprüssel), J. Combin. Theory (Series B) 98 (2008), 798-804; PDF
On self-immersions of infinite graphs (Th. Andreae), J. Graph Theory 58 (2008), 275–285; PS.GZ

2007:

Forcing highly connected subgraphs in locally finite graphs (M. Stein), J. Graph Theory 54 (2007), 331-349; PDF
On end degrees and infinite cycles in locally finite graphs (H. Bruhn and M. Stein), Combinatorica 27 (2007), 269-291; PDF
Connected but not path-connected subspaces of infinite graphs (A. Georgakopoulos), Combinatorica 27 No.6 (2007), 683-698; PDF
Orientations and partitions of the Rado graph (R. Diestel, I. Leader, A. Scott and St. Thomassé), Trans. Amer. Math. Soc 359 No.5 (2007), 2395-2405; PDF

2006:

Arboriticity and tree-packing in locally finite graphs (M. Stein), J. Combin. Theory (Series B) 96 (2006), 302-312; PDF.
MacLane's planarity criterion for locally finite graphs (H. Bruhn and M. Stein), J. Combin. Theory (Series B) 96 (2006), 225-239; PDF
Duality in infinite graphs (H. Bruhn and R. Diestel), Comb. Probab. Computing 15 (2006), 75-90; abstract/ PDF
End spaces and spanning trees (R. Diestel), J. Combin. Theory (Series B) 96 (2006), 846-854; abstract/ DVI/ PDF
A Cantor-Bernstein theorem for paths in graphs (R. Diestel and C. Thomassen), Amer. Math. Monthly 113 (2006), 161-166; PDF

2005:

Cycle-cocycle partitions and faithful cycle covers for locally finite graphs (H. Bruhn, R. Diestel and M. Stein), J. Graph Theory 50 (2005), 150-161; abstract/ PDF
The cycle space of an infinite graph (R. Diestel), Comb. Probab. Computing 14 (2005), 59-79; PDF
Reconstructing the number of blocks of an infinite graph (Th. Andreae), Discrete Math. 297 (2005), 144–151; PS.GZ
Graph minor hierarchies (R. Diestel and D. Kühn), Discrete Applied Mathematics 145 (2005), 167-182; PDF
Dense minors in graphs of large girth (R. Diestel and C. Rempel), Combinatorica 25 (2005), 111-116; PDF
Menger's theorem for infinite graphs with ends (Henning Bruhn, Reinhard Diestel and Maya Stein), J. Graph Theory 50 (2005), 199-211; PDF
The Erdös-Menger conjecture for source/sink sets with disjoint closures (R. Diestel), J. Comb. Theory (Series B) 93 (2005), 107-114; PDF

2004:

On infinite cycles I (R. Diestel and D. Kühn), Combinatorica 24 (2004), 68-89; abstract/ PDF
On infinite cycles II (R. Diestel and D. Kühn), Combinatorica 24 (2004), 91-116; abstract/ PDF
The cycle space of a 3-connected locally finite graph is generated by its finite and infinite peripheral circuits (H. Bruhn), JCTB 92 (2004), 235-256; PDF
Topological paths, cycles and spanning trees in infinite graphs (R. Diestel and D. Kühn), Europ. J. Combinatorics 25 (2004), 835-862; abstract/ PDF
A short proof of Halin's grid theorem (R. Diestel), Abh. Math. Sem. Univ. Hamburg 74 (2004), 137-242; PDF

2003:

Graph-theoretical versus topological ends of graphs (R. Diestel and D. Kühn), J. Combin. Theory (Series B) 87 (2003), 197-206; abstract/ PDF
The countable Erdös-Menger conjecture with ends (R. Diestel), J. Combin. Theory (Series B) 87 (2003), 145-161; PDF
On the cofinality of infinite partially ordered sets: factoring a poset into lean essential subsets (R. Diestel and O. Pikhurko), Order 20 (2003), 53--66; PDF
On immersions of uncountable graphs (Th. Andreae), JCTB 87 (2003), 130–137; PS.GZ

2002:

Two short proofs concerning tree-decompositions (R. Diestel and P. Bellenbaum), Combinatoric, Probability and Computing 11 (2002), 1-7; PDF

2001:

Relating subsets of a poset, and a partition theorem for WQOs (R. Diestel), Order 18 (2001), 275--279; PDF
Normal spanning trees, Aronszajn trees and excluded minors (R. Diestel & I. Leader), J. London Math. Soc. 63 (2001), 16-32; PDF

2000:

An accessibility theorem for infinite graph minors (R. Diestel), J. Graph Theory 35 (2000), 273-277; PDF

1999:

Highly connected sets and the excluded grid theorem (R. Diestel, K.Yu. Gorbunov, T.R. Jensen and C. Thomassen), J. Combin. Theory (Series B) 75 (1999), 61-73; DVI
A universal planar graph under the minor relation (R. Diestel and D. Kühn), J. Graph Theory 32 (1999), 191-206; PDF
Excluding a countable clique (R. Diestel and R. Thomas), J. Combin. Theory (Series B) 76 (1999), 41-67; PDF

Theses:

Distinguishing and witnessing dense structures in graphs and abstract separation systems (C. Elbracht), PhD dissertation, Hamburg 2021; PDF
Tangles, Trees of Tangles, and Submodularity (M. Teegen), PhD dissertation, Hamburg 2021; PDF
Tangles and where to find them (J. Kneip), PhD dissertation, Hamburg 2020; PDF
How to build a tree of tangles by local reﬁnements (R. Jacobs), MSc dissertation, Hamburg 2020; PDF
Ends and tangles, stars and combs, minors and the Farey graph (J. Kurkofka), PhD dissertation, Hamburg 2020; PDF
Fundamental substructures of infinite graphs (C. Bürger), PhD dissertation, Hamburg 2020; PDF
Tree-structure in separation systems and infinitary combinatorics (J. Erde), Habilitationsschrift, Hamburg 2019; PDF
Eine topologische Erweiterung des Orientierungs-Theorems von Nash-Williams auf lokal endliche Graphen (L. Jannasch), BSc dissertation, Hamburg 2019; PDF
The Eulerian problem and further results in the theory of infinite graphs (M. Pitz), Habilitationsschrift, Hamburg 2019; PDF
On infinite graphs and infinite groups (B. Miraftab), PhD dissertation, Hamburg 2019; PDF
Connectivity and tree structure in infinite graphs (J.P. Gollin), PhD dissertation, Hamburg 2019; PDF
On Tangles and Trees (D. Weißauer), PhD dissertation, Hamburg 2018; PDF
Connectivity in directed and undirected infinite graphs (K. Heuer), PhD dissertation, Hamburg 2018; PDF
On the fundamental group of the Freudenthal compactification of CW complexes (R. Melcher), MSc dissertation, Hamburg 2017; PDF
Tangles determined by majority vote (C. Elbracht), MSc dissertation, Hamburg 2017; PDF
Abstract tangles as an inverse limit, and a tangle compactification for topological spaces (M. Teegen), MSc dissertation, Hamburg 2017); PDF
On the tangle compactification of infinite graphs (J. Kurkofka), MSc dissertation, Hamburg 2017; PDF, ArXiv
Embedding simply connected 2-complexes in 3-space..., (J. Carmesin), Habilitationsschrift, Hamburg 2017; PDF
Blocks and 2-Blocks of Graph-Like Spaces (H. Heine), MSc dissertation, Hamburg 2017; PDF
Embedding simply connected 2-complexes in 3-space, and further results on infinite graphs and matroids (J. Carmesin), Habilitationsschrift, Hamburg 2017; PDF
Decomposing edge-coloured infinite graphs into monochromatic paths and cycles (C. Bürger), MSc dissertation, Hamburg 2017; PDF
Infinite tree sets and their representations (J. Kneip), MSc dissertation, Hamburg 2016; PDF
Investigations in infinite matroid theory (A. Elm), MSc dissertation, Hamburg 2016; PDF
Characteristics of profiles (Ph. Eberenz), MSc dissertation, Hamburg 2015; PDF
Limit structures and ubiquity in finite and infinite graphs (J. Pott), PhD dissertation, Hamburg 2015; PDF
Tree-decomposition in finite and infinite graphs (J. Carmesin), PhD dissertation, Hamburg 2015; PDF
Polishing tree-decompositions to bring out the k-blocks (P. Gollin), MSc dissertation, Hamburg 2014; PDF
Edge length induces end topologies (T. Rühmann), MSc dissertation, Hamburg 2014; PDF
Linkages in Large Graphs and Matroid Union (J.O. Fröhlich), PhD dissertation, Hamburg 2014; PDF
The excluded minor structure theorem, and linkages in large graphs of bounded tree-width (T. Müller), PhD dissertation, Hamburg 2014; PDF
Connected Tree-width and Infinite Gammoids (M. Müller), PhD dissertation, Hamburg 2014; PDF
Linkages in Large Graphs and Matroid Union (H. Afzali), PhD dissertaion, Hamburg 2014; PDF<
Representability of infinite matroids and the structure of linkages in digraphs (H. Afzali), PhD dissertaion, Hamburg 2014; PDF
Infinite Matroids (N. Bowler), Habilitationsschrift, Hamburg 2014; PDF
Connected-homogeneous digraphs (M. Hamann), Habilitationsschrift, Hamburg 2014; PDF
Linkages in Large Graphs and Matroid Union (J.O. Fröhlich), PhD dissertation, Hamburg 2014; PDF
Connected Tree-width and Infinite Gammoids (M. Müller), PhD dissertation, Hamburg 2014; PDF
The excluded minor structure theorem, and linkages in large graphs of bounded tree-width (T. Müller), PhD dissertation, Hamburg 2014; PDF
Polishing tree-decompositions to bring out the k-blocks (P. Gollin), MSc dissertation, Hamburg 2014; PDF
Two sufficient conditions for hamiltonicity in locally finite graphs (K. Heuer), MSc dissertation, Hamburg 2013; PDF
The tree-like connectivity structure of finite graphs and matroids (F. Hundertmark), PhD dissertation, Hamburg 2013; PDF
The tree-like connectivity structure of finite graphs and matroids (F. Hundertmark), PhD dissertation, Hamburg 2013; PDF
The Planar Cubic Cayley Graphs (A. Georgakopoulos), Habilitationsschrift, Hamburg 2012, PDF
Infinite graphs with a tree-like structure, (M. Hamann) PhD dissertation, Hamburg 2011; PDF
The line graph of every locally finite 6-edge-connected graph with finitely many ends is hamiltonian, (F. Lehner), MSc dissertation, TU Graz 2011; PDF
Die Kirchoffsche Knotenregel gilt nicht bei Randpunkten unendlicher Graphen, (J. Carmesin), BSc dissertation, Hamburg 2010, PDF
T. Rühmann, Gruppenwertige Flüsse (T. Rühmann), BSc dissertation, Hamburg 2010, PDF
On the homology of infinite graphs with ends (P. Sprüssel) PhD dissertation, Hamburg 2010; PDF
Gruppenwertige Flüsse (T. Rühmann), BSc dissertation, Hamburg 2010; PDF
Bicycles and left-right tours in locally finite graphs (M. Win Myint), PhD dissertation, Hamburg 2009; PDF
Graphs and their circuits: from finite to infinite (H. Bruhn), Habilitationsschrift, Hamburg 2009; PDF
Extremal questions in graph theory (M. Stein), Habilitationsschrift, Hamburg 2009; PDF
Topological paths and cycles in infinite graphs (A. Georgakopoulos), PhD dissertation, Hamburg 2007; PDF
Ends of graphs (M. Stein), PhD dissertation, Hamburg 2005; PDF
Der Zyklenraum nicht lokal-endlicher Graphen (M. Schulz), Diplomarbeit, Hamburg 2005; PDF
Infinite highly connected planar graphs of large girth (A. Georgakopoulos), Diplomarbeit, Hamburg 2004; PDF
Erzwingung von Teilstrukturen in Graphen durch globale Parameter (C. Rempel), PhD dissertation, Hamburg 2001; PDF
Cycles, minors and trees (D. Kühn), PhD dissertaion, Hamburg 2001; PDF
Schlanke Baumzerlegungen von Graphen (P. Bellenbaum), Diplomarbeit, Hamburg 2000; PDF