• Counterexamples regarding linked and lean tree-decompositions (S. Albrechtsen, R. W. Jacobs, P. Knappe, M. Pitz), preprint 2024; ArXiv
• Linked tree-decompositions into finite parts (S. Albrechtsen, R. W. Jacobs, P. Knappe, M. Pitz), preprint 2024; ArXiv
• A note on uncountably chromatic graphs (N. Bowler and M. Pitz), submitted. (ArXiv).
• The Nash-Williams orientation theorem for graphs with countably many ends (A. Assem, M. Koloschin and M. Pitz), submitted. (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 number of topological types of trees (T. Krill and M. Pitz), Combinatorica 44 (2024), 651-657; ArXiv
• 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
• Ubiquity of oriented rays (F. Gut, T. Krill and F. Reich), Journal of Graph Theory 107(1) (2024), 200-211; ArXiv
• Canonical graph decompositions via coverings (R. Diestel, R. Jacobs, P. Knappe and J. Kurkofka), preprint 2022; ArXiv
• Universal graphs for the topological minor relation (T. Krill), Journal of Graph Theory 104(4) (2023), 683-696; ArXiv
• End spaces and tree-decompositions (M. Koloschin, T. Krill, and M. Pitz), JCTB 161 (2023), 147-179; ArXiv 
• Maker-Breaker games on K_{\omega_1} and K_{\omega,\omega_1} (N. Bowler, F. Gut, A. Joó, and M. Pitz), The Journal of Symbolic Logic 88(2) (2023), 697-703; ArXiv
• The K^{\aleph_0} Game: Vertex Colouring (N. Bowler, M. Emde, and F. Gut), Mathematika 69(3) (2023), 584-599; ArXiv
• A representation theorem for end spaces of infinite graphs (J. Kurkofka and Max Pitz), preprint 2021. (ArXiv).
• The Lovász-Cherkassky theorem for locally finite graphs with ends (R. Jacobs, A. Joó, P. Knappe, J. Kurkofka, and R. Melcher), Discrete Mathematics 346.12 (2023), 113586; ArXiv
• The Lovász-Cherkasskiy theorem in countable graphs (Attila Joó), Journal of Combinatorial Theory B 159 (2023), 1-19; ArXiv
• Applications of order trees in infinite graphs (Max Pitz), Order (2022) Journal.
• Countably determined ends and graphs (Jan Kurkofka and Ruben Melcher), JCTB 156 (2022), 31-56; ArXiv
• A strengthening of Halin's grid theorem (with J. Kurkofka and R. Melcher), Mathematika 68(4) (2022), 1009-1013. 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
• An analogue of Edmonds' Branching Theorem for infinite digraphs (J.P. Gollin & K. Heuer), Europ. J. Comb 92 (2021); ArXiv
• Edge-connectivity and tree-structure in finite and infinite graphs (C. Elbracht, J. Kurkofka and M. Teegen), preprint 2020; ArXiv
• Halin's end degree conjecture (S. Geschke, J. Kurkofka, R. Melcher, M. Pitz), Israel Journal of Mathematics 253.2 (2023), 617-645; 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
• Canonical trees of tree-decompositions (J. Carmesin, M. Hamann & B. Miraftab), JCTB 152 (2022), 1-26; ArXiv
• The Farey graph is uniquely determined by its connectivity (J. Kurkofka), Journal of Combinatorial Theory, Series B, 151 (2021), 223-234; ArXiv
• End-faithful spanning trees in graphs without normal spanning trees (C. Bürger & J. Kurkofka), Journal of Graph Theory (2022); ArXiv
• Quickly proving Diestel's normal spanning tree criterion (Max Pitz), Electron. J. Comb. 28(3) (2021), P3.59. (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
• Proof of Halin's normal spanning tree conjecture (Max Pitz), Israel J. Math. 246 (2021), 353-370. (ArXiv)
• A new obstruction for normal spanning trees (Max Pitz), Bull. London Math. Soc. 53 (2021) 1220-1227. (ArXiv)
• A note on minor antichains of uncountable graphs, J. 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
• A unified existence theorem for normal spanning trees (Max Pitz), J. Combin. Theory (Series B), 145 (2020), 466-469. (ArXiv)
• Enlarging vertex-flames in countable digraphs (J. Erde, J. P. Gollin, A. Joó), Journal of Combinatorial Theory, Series B 151 (2021), 263-281; ArXiv
• 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
• Approximating infinite graphs by normal trees (J. Kurkofka, R. Melcher and M. Pitz), J. Combin. Theory (Series B), 148 (2021), 173-183; ArXiv
• Ubiquity and the Farey graph (J. Kurkofka), European J. Combin., 95 (2021), 103326; ArXiv
• On the infinite Lucchesi-Younger conjecture I (J.P. Gollin & K. Heuer), Journal of Graph Theory 98(1) (2021), 27-48; ArXiv
• Reducing the dichromatic number via cycle reversions in infinite digraphs (P. Ellis, A. Joó, D. T. Soukup), European Journal of Combinatorics 90 (2020), 103196; ArXiv
• On the growth rate of dichromatic numbers of finite subdigraphs (A. Joó), Discrete Mathematics, Volume 343, Issue 3, 2019; open access
• A Cantor-Bernstein-type theorem for spanning trees in infinite graphs (J. Erde, P. Gollin, A. Joó, P. Knappe, M. Pitz), Journal of Combinatorial Theory B 149 (2021), 16-22, preprint 2019; ArXiv
• Uncountable dichromatic number without short directed cycles (A. Joó), Journal of Graph Theory, Volume 94, Issue 1, Pages 113-116, 2020; open access
• The Complete Lattice of Erdő-Menger Separations (A. Joó), preprint 2019; ArXiv
• Vertex-flames in countable rooted digraphs preserving an Erdős-Menger separation for each vertex (A. Joó), Combinatorica 39(6) (2019), 1317-1333; ArXiv
• All graphs have tree-decompositions displaying their topological ends (J. Carmesin), Combinatorica 39 (2019), 545–596; PDF
• Characterising k-connected sets in infinite graphs (J.P. Gollin and K. Heuer) , JCTB 157 (2022), 451-499; ArXiv
• 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
• Packing countably many branchings with prescribed root-sets in infinite digraphs (A. Joó), Journal of Graph Theory 87 (1) (2017), 96-107; PDF
• Highly Connected Infinite Digraphs Without Edge-Disjoint Back and Forth Paths Between a Certain Vertex Pair (A. Joó), Journal of Graph Theory 85 (1) (2017), 51-55; PDF
• Edmonds' branching theorem in digraphs without forward-infinite paths (A. Joó), Journal of Graph Theory 83 (3) (2016), 303-311; PDF
• On partitioning the edges of an infinite digraph into directed cycles (A. Joó), Advances in Combinatorics (2021); PDF
• Ubiquity in graphs II: Ubiquity of graphs with non-linear end structure (N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer, M. Pitz, M. Teegen), Journal of Graph Theory 103(3) (2023), 564-598; 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
• Partitioning edge-coloured infinite complete bipartite graphs into monochromatic paths (C. Bürger, M. Pitz), Israel J. Math 238 (2020), 479-500. ArXiv
• 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
• Decomposing edge-coloured complete symmetric digraphs into monochromatic paths (C. Bürger, M. Pitz), manuscript 2017; ArXiv
• Infinite end-devouring sets of rays with prescribed start vertices (J.P. Gollin and K. Heuer), Discrete Math. 341 (2018), 2117–2120; ArXiv
• Non-reconstructible locally finite graphs (N. Bowler, J. Erde, P. Heinig, F. Lehner, M. Pitz), JCTB 133 (2018), 122–152; ArXiv
• Minimal obstructions for normal spanning trees (N. Bowler, S. Geschke and M. Pitz), Fund. Math. 241 (2018), 245–263; ArXiv
• 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; ArXiv
• Clique trees of infinite locally finite chordal graphs. (Christoph Hofer-Temmel & Florian Lehner), Electron. J. Combin. 25 (2018), #P2.9; PDF
• The colouring number of infinite graphs (N. Bowler, J. Carmesin, C. Reiher), Combinatorica 39 (2019), 1225–1235; PDF
• Ends and tangles (R. Diestel), Abhandlungen Math. Sem. Univ. Hamburg 87 (2017), Special volume in memory of Rudolf Halin, 223-244; PDF
• Excluding a full grid minor (K. Heuer), Abhandlungen Math. Sem. Univ. Hamburg 87 (2017), Special volume in memory of Rudolf Halin, 265-274; PDF
• All graphs have tree-decompositions displaying their
• Edge-disjoint double rays in infinite graphs: a Halin type result (N. Bowler, J. Carmesin, J. Pott), JCTB 111 (2015), 1-16; ArXiv
• Contractible edges in 2-connected locally finite graphs (Tsz Lung Chan), Electronic J. Comb. 22 (2015) #P2.47; PDF
• Forcing finite minors in sparse infinite graphs by large-degree assumptions (R. Diestel), Electron. J. Combin. 22 (2015), #P1.43; PDF
• A simple existence criterion for normal spanning trees in infinite graphs (R. Diestel), Electronic J. Comb. 23 (2016), #P2.33; PDF
• Twins of rayless graphs (A. Bonato, H. Bruhn, R. Diestel and P. Sprüssel), J. Combin. Theory (Series B) 101 (2011), 60-65; PDF
• Classes of locally finite ubiquitous graphs (Th. Andreae), JCTB 103 (2013), 274-290; PDF
• Every rayless graph has an unfriendly partition (H. Bruhn, R. Diestel, A. Georgakopoulos and P. Sprüssel), Combinatorica 30 (2010), 521-532; 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
• End spaces and spanning trees (R. Diestel), J. Combin. Theory (Series B) 96 (2006), 846-854; PDF
• A Cantor-Bernstein theorem for paths in graphs (R. Diestel and C. Thomassen), Amer. Math. Monthly 113 (2006), 161-166; 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
• A short proof of Halin's grid theorem (R. Diestel), Abh. Math. Sem. Univ. Hamburg 74 (2004), 137-242; PDF
• Reconstructing the number of blocks of an infinite graph (Th. Andreae), Discrete Math. 297 (2005), 144–151; PS.GZ
• On self-immersions of infinite graphs (Th. Andreae), J. Graph Theory 58 (2008), 275–285; PS.GZ
• 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
• Relating subsets of a poset, and a partition theorem for WQOs (R. Diestel), Order 18 (2001), 275--279; PDF
• An accessibility theorem for infinite graph minors (R. Diestel), J. Graph Theory 35 (2000), 273-277; PDF
• Normal spanning trees, Aronszajn trees and excluded minors (R. Diestel & I. Leader), J. London Math. Soc. 63 (2001), 16-32; PDF
• On immersions of uncountable graphs (Th. Andreae), JCTB 87 (2003), 130–137; PS.GZ
• 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
• The classification of finitely spreading graphs (R. Diestel), Proc. London Math. Soc (3) 73 (1996), 534-554; PDF
• Normal tree orders for infinite graphs (R. Diestel and J.M. Brochet), Trans. Amer. Math. Soc 345 (1995), 871-895. PDF
• Dominating functions and graphs (R. Diestel, S. Shelah and J. Steprans), J. London Math. Soc 49 (1994) 16-24; PDF
• The depth-first search tree structure of TKomega-free graphs (R. Diestel), J. Combin. Theory (Series B) 61 (1994), 260-262; PDF
• The growth of infinite graphs: boundedness and finite spreading (R. Diestel & I. Leader), Combinatorics, Probability and Computing 3 (1994), 51-55; PDF
• Menger's theorem for a countable source set (R. Diestel and R. Aharoni), Combinatorics, Probability and Computing 3 (1994), 145-156; PDF
• Dominating functions and topological graph minors (R. Diestel), Contemporary Mathematics 147 (1993), 461-476; PDF
• The structure of TKa-free graphs (R. Diestel), J. Combin. Theory (Series B) 54 (1992), 222-238; PDF
• A proof of the Bounded Graph Conjecture (R. Diestel and I. Leader), Invent. math. 108 (1992), 131-162; PDF
• On spanning trees and k-connectedness in infinite graphs (R. Diestel), J. Combin. Theory (Series B) 56 (1992), 263-277; PDF
• A compactness theorem for complete separators (R. Diestel), Abh. Math. Sem. Univ. Hamburg 60 (1990), 149-151; PDF
• Simplicial tree-decompositions of infinite graphs I (R. Diestel), J. Combin. Theory (Series B) 48 (1990), 197-215; PDF
• Simplicial tree-decompositions of infinite graphs II - the existence of prime decompositions (R. Diestel), J. Combin. Theory (Series B) 50 (1990), 93-116; PDF
• Simplicial tree-decompositions of infinite graphs III - the uniqueness of prime decompositions (R. Diestel), J. Combin. Theory (Series B) 50 (1990), 117-128; PDF
• Simplicial minors and decompositions of graphs (R. Diestel), Math. Proc. Camb. Phil. Soc. 103 (1988), 409-426; PDF
• Simplicial decompositions of graphs - some uniqueness results (R. Diestel), J. Combin. Theory (Series B) 42 (1987), 133-145;
• On universal graphs with forbidden topological subgraphs (R. Diestel), Europ. J. Combinatorics 6 (1985), 175-182;
• Some remarks on universal graphs (R. Diestel, R. Halin and W. Vogler), Combinatorica 5 (1985), 283-293;
• On the problem of finding small subdivision and homomorphism bases for classes of countable graphs (R. Diestel), Discrete Mathematics 55 (1985), 21-33;

Some theses in this area:

• A minor-characterisation of normally spanned sets of vertices (Nicola Lorenz), MSc dissertation, Hamburg 2022; PDF
• Ubiquity, hamiltonicity and dijoins in graphs (K.M. Heuer), Habilitationsschrift, Hamburg 2022; PDF
• Fundamental substructures of infinite graphs (C. Bürger), PhD dissertation, Hamburg 2020; PDF
• Ends and tangles, stars and combs, minors and the Farey graph (J. Kurkofka), PhD dissertation, Hamburg 2020; PDF
• The Eulerian problem and further results in the theory of infinite graphs (M. Pitz), Habilitationsschrift, Hamburg 2019; PDF
• Tree-structure in separation systems and infinitary combinatorics (J. Erde), Habilitationsschrift, Hamburg 2019; PDF
• Connectivity and tree structure in infinite graphs (J.P. Gollin), PhD dissertation, Hamburg 2019; PDF
• Connectivity in directed and undirected infinite graphs (K. Heuer), PhD dissertation, Hamburg 2018; PDF
• Decomposing edge-coloured infinite graphs into monochromatic paths and cycles (C. Bürger), MSc dissertation, Hamburg 2017; PDF
• Connected-homogeneous digraphs (M. Hamann), Habilitationsschrift, Hamburg 2014; PDF