Hamburg papers on

Abstract separation systems and their applications

• Optimal trees of tangles: refining the essential parts (S. Albrechtsen), preprint 2023; ArXiv
• Efficiently distinguishing all tangles in locally finite graphs (R. Jacobs and P. Knappe), Journal of Combinatorial Theory B 167 (2024), 189-214; ArXiv
• Refining trees of tangles in abstract separation systems I: Inessential parts (S. Albrechtsen), preprint 2023; ArXiv 
• Duality and tangles of set separations (R. Diestel, C. Elbracht, Joshua Erde & M. Teegen), J. Combinatorics 15 (2024), 1–39; ArXiv 
• Point sets and functions inducing tangles of set separations (R. Diestel, C. Elbracht, and R. Jacobs), to appear in Journal of Combinatorics; 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 
• Obtaining trees of tangles from tangle-tree duality (C. Elbracht, J. Kneip and M. Teegen), J. Combinatorics 13 (2022), 251-287; ArXiv 
• A canonical tree-of-tangles theorem for structurally submodular separation systems (C. Elbracht and J. Kneip), Combinatorial Theory 1 (2021); 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 
• 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 
• Profinite tree sets (J. Kneip), preprint 2019; PDF 
• Trees of tangles in abstract separation systems (C. Elbracht, J. Kneip and M. Teegen), JCTA 180 (2021), 105425; ArXiv 
• Representations of infinite tree sets (J.P. Gollin and J. Kneip), Order 38 (2020); ArXiv 
• Tangles in the social sciences (R. Diestel), preprint 2019; PDF
• 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 
• Structural submodularity and tangles in abstract separation systems (R. Diestel, J. Erde and D. Weißauer), JCTA 167C (2019), 155-180; PDF 
• Profinite separation systems (R. Diestel and J. Kneip), Order 37 (2020), 179-205; short/ long version 
• Ends as tangles (J. Kneip), preprint 2019; PDF 
• A unified treatment of linked and lean tree-decompositions (J. Erde), JCTB 130 (2018), 114-143; ArXiv 
• Abstract separation systems (R. Diestel), Order 35 (2018), 157-170; PDF 
• Tangle-tree duality in abstract separation systems (R. Diestel and S. Oum), Advances in Mathematics 377 (2021); PDF 
• Tangle-tree duality: in graphs, matroids and beyond (R. Diestel and S. Oum), Combinatorica 39 (2019), 879-910; PDF 
• Tangles and the Mona Lisa (R. Diestel and G. Whittle), preprint 2016; 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 
• Profiles of separations: in graphs, matroids and beyond (R. Diestel, F. Hundertmark and S. Lemanczyk), Combinatorica 39 (2019), 37–75; PDF 
• Tree sets (R. Diestel), Order 35 (2018), 171-192; PDF 
• Refining a tree-decomposition which distinguishes tangles (J. Erde), SIAM Journal on Discrete Mathematics 31 (2017), 1529–1551; ArXiv 
• Ends and tangles (R. Diestel), Abhandlungen Math. Sem. Univ. Hamburg 87 (2017), 223–244; PDF 
• Profiles. An algebraic approach to combinatorial connectivity (Fabian Hundertmark), preprint 2011; ArXiv 

Some theses in the area:

• A spectral approach to generating set separations (M. Hermann), BSc dissertation, Hamburg 2022; PDF
• 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 
• Tree-structure in separation systems and infinitary combinatorics (J. Erde), Habilitationsschrift, Hamburg 2019; PDF 
• On Tangles and Trees (D. Weißauer), PhD dissertation, Hamburg 2018; 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 
• Infinite tree sets and their representations (J. Kneip), MSc dissertation, Hamburg 2016; PDF
• Characteristics of profiles (Ph. Eberenz), MSc dissertation, Hamburg 2015; PDF