Publications
by
Johannes Carmesin,
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Selected Papers
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Local 2-separators, Journal of Combinatorial Theory, Series B, Volume 156, 2022, Pages 101-144,
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Canonical decompositions of 3-connected graphs (with J. Kurkofka), FOCS 2023, 50 pages;
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Embedding simply connected 2-complexes in 3-space, pages 91, Preprint;
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All graphs have tree-decompositions displaying their topological ends, Combinatorica, Volume 39 (2019), pages 545-596; pdf
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Graph Theory - A Survey on the Occasion of the Abel Prize for László Lovász, Jahresbericht der Deutschen Mathematiker-Vereinigung volume 124, pages 83-108 (2022);
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Full list
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Towards a Stallings-type theorem for finite groups (with G. Kontogeorgiou, J. Kurkofka, W. Turner), Preprint;
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How to apply tree decomposition ideas in large networks? (with S. Frenkel), Preprint;
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Embedding simply connected 2-complexes in 3-space, Preprint;
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- Canonical decompositions of 3-connected graphs (with J.Kurkofka), FOCS 2023, 50 pages;
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- Characterising 4-tangles through a connectivity property (with J.Kurkofka), Preprint;
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Graph Theory - A Survey on the Occasion of the Abel Prize for László Lovász, Jahresbericht der Deutschen Mathematiker-Vereinigung volume 124, pages 83-108 (2022);
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Dual matroids of 2-complexes -- revisited, Preprint;
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On Andreae's Ubiquity Conjecture, Journal of Combinatorial Theory, Series B 162, pages 68-70 (2023);
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Entanglements (with J. Kurkofka), Journal of Combinatorial Theory, Series B 164, pages 17-28 (2024);
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A characterisation of 3-colourable 3-dimensional triangulations (with E. Nevinson and B. Saunders), Preprint;
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Outerspatial 2-complexes: Extending the class of outerplanar graphs to three dimensions (with T. Mihaylov), Preprint;
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A Whitney type theorem for surfaces: characterising graphs with locally planar embeddings, Preprint;
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Characterising graphs with no subdivision of a wheel of bounded diameter, Journal of Combinatorial Theory, Series B, Volume 161, Pages 21-51 (2023);
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Local 2-separators, Journal of Combinatorial Theory, Series B, Volume 156, 2022, Pages 101-144,
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Large highly connected subgraphs in graphs with linear average degree, Preprint;
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New Constructions related to the Polynomial Sphere Recognition Problem (with L. Lichev), Discret. Comput. Geom., volume 67, 2022, pages 1097-1123;
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Canonical trees of tree-decompositions (with M. Hamann and B. Miraftab), Journal of Combinatorial Theory, Series B,
Volume 152,
2022,
Pages 1-26;
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The Almost Intersection Property for Pairs of Matroids on Common Groundset (with N. Bowler, S. Ghaderi and J. Wojciechowski), The Electronic Journal of Combinatorics, Pages 3-5 (2020);
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Embedding simply connected 2-complexes in 3-space I, Preprint;
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Embedding simply connected 2-complexes in 3-space II, Preprint;
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Embedding simply connected 2-complexes in 3-space III, Preprint;
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Embedding simply connected 2-complexes in 3-space IV, Preprint;
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Embedding simply connected 2-complexes in 3-space V, Preprint;
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On tree-decompositions of one-ended graphs (with F. Lehner & R. Möller), Math. Nachrichten 292.3: Pages 524-539 (2019);
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A Liouville hyperbolic souvlaki (with B. Federici & A. Georgakopoulos), Electron. J. Probab., Volume 22 (2017), paper no. 36, 19 pages;
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The colouring number of infinite graphs (with N. Bowler, P. Komjáth & C. Reiher), Combinatorica, Volume 39, Pages 1225-1235 (2019);
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A short proof that every finite graph has a tree-decomposition displaying its tangles, European J. Combin. 58 (2016), 61-65;
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Canonical tree-decompositions of a graph that display its k-blocks (with Pascal Gollin), J. Combin. Theory Ser. B , Volume 122 (2017), Pages 1-20;
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Reconstruction of infinite matroids from their 3-connected minors (with N. Bowler & L. Postle), European J. Combin. (2018), volume 67, pages 126-144;
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Every planar graph with the Liouville property is amenable (with Agelos Georgakopoulos), Random Structures & Algorithms 57.3: Pages 706-729 (2020);
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All graphs have tree-decompositions displaying their topological ends, Combinatorica, Volume 39 (2019), pages 545-596; pdf
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Topological cycle matroids of infinite graphs, European J. Combin, Volume 60 (2017), Pages 135-150;
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Infinite trees of matroids (with Nathan Bowler), Preprint;
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On the intersection conjecture for infinite trees of matroids (with Nathan Bowler), Preprint;
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Even an infinite bureaucracy eventually makes a decision, Preprint;
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Topological infinite gammoids, and a new Menger-type theorem for infinite graphs, Electron. J. Combin. 25(2018), no. 3, paper 3.38, 22pp;
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Infinite graphic matroids Part I (with Nathan Bowler & Robin Christian), Combinatorica (2018), volume 38, issue 2, pages 305-339;
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Edge-disjoint double rays in infinite graphs: a Halin type result (with Nathan Bowler & Julian Pott),
J. Combin. Theory Ser. B
111 (2015), 1-16;
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The ubiquity of Psi-matroids (with Nathan Bowler), Preprint;
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Infinite Matroids and Determinacy of Games (with Nathan Bowler), Preprint;
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Canonical tree-decompositions of finite graphs II. Essential parts (with R. Diestel, M. Hamann & F. Hundertmark),
J. Combin. Theory Ser. B 118 (2016), 268-283;
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Canonical tree-decompositions of finite graphs I. Existence and algorithms (with R. Diestel, M. Hamann & F. Hundertmark), J. Combin. Theory Ser. B 116 (2016), 1-24;
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k-Blocks: a connectivity invariant for graphs (with R. Diestel, M. Hamann & F. Hundertmark),
SIAM J. Discrete Math. , 28-4 (2014), pp. 1876-1891;
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An excluded minors method for infinite matroids (with Nathan Bowler), J. Combin. Theory Ser. B (2018), volume 128, pp. 104-113;
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Matroid intersection, base packing and base covering for infinite matroids (with Nathan Bowler),
Combinatorica 35 (2015), no.
2, 153-180;
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Matroids with an infinite circuit-cocircuit intersection (with Nathan Bowler), J. Combin. Theory Ser. B (2014), volume 107, 78-91;
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On the intersection of infinite matroids (with Elad Aigner-Horev & Jan-Oliver Fröhlich), Discrete Mathematics (2018), volume 341, issue 6, pages 1582-1596;
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Connectivity and tree-structure in finite graphs (with Reinhard Diestel, Fabian Hundertmark & Maya Stein),
Combinatorica 34 (2014) , 11-46;
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A characterization of the locally finite networks admitting non-constant harmonic functions of finite energy, Potential Analysis 37 (2012), 229-245;
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Habilitation (2018)
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Embedding simply connected 2-complexes in
3-space,
and further results on
infinite graphs and matroids;
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Dissertation (2015)
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Tree-decompositions in
finite and infinite graphs;
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Master thesis (2012)
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A characterization of the locally finite networks admitting non-constant harmonic functions of finite energy;
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