Fachbereich Mathematik 
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Dr. Max Pitz


Publications and Preprints

  1. The strong Nash-Williams orientation theorem for rayless graphs (with J. Stegemann), submitted. (ArXiv).
  2. Linked tree-decompositions into finite parts (with S. Albrechtsen, R.W. Jacobs and P. Knappe), submitted. (ArXiv).
  3. Counterexamples regarding linked and lean tree-decompositions of infinite graphs (with S. Albrechtsen, R.W. Jacobs and P. Knappe), submitted. (ArXiv).
  4. A note on uncountably chromatic graphs (with N. Bowler), submitted. (ArXiv).
  5. The Nash-Williams orientation theorem for graphs with countably many ends (with A. Assem and M. Koloschin), Eur. J. Comb. 124 (2025), 104043 (Journal/ArXiv).
  6. The number of topological types of trees (with T. Krill), Combinatorica 44 (2024), 651-657. (Journal/ArXiv).
  7. Characterising path-, ray- and branch spaces of order trees, and end spaces of infinite graphs, submitted. (ArXiv).
  8. Universal end-compactifications of locally finite graphs (with J. Ouborny), Topology Appl. 344 (2024), 108801. (Journal/ArXiv).
  9. End spaces and tree-decompositions (with M. Koloschin and T. Krill), J. Combin. Theory (Series B) 161 (2023), 147-179. (Journal/ArXiv).
  10. Maker-Breaker games on Kω1 and Kω,ω1 (with N. Bowler, F. Gut and A. Joo), J. Symb. Log. 88(2) (2023), 697-703. (Journal/ArXiv).
  11. Constructing tree-decompositions that display all topological ends, Combinatorica 42(5) (2022), 763-769. (Journal/ArXiv).
  12. A representation theorem for end spaces of infinite graphs (with J. Kurkofka), submitted. (ArXiv).
  13. Applications of order trees in infinite graphs, Order 41 (2024), 65-81. (Journal).
  14. A strengthening of Halin's grid theorem (with J. Kurkofka and R. Melcher), Mathematika 68(4) (2022), 1009-1013. (Journal/ArXiv ).
  15. Ubiquity of locally finite graphs with extensive tree-decompositions (with N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer and M. Teegen), to appear in Combinatorial Theory. (ArXiv).
  16. Ubiquity of graphs with nowhere non-linear end structure (with N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer and M. Teegen), J. Graph Theory 103(3) (2023), 564-598. (Journal/ArXiv).
  17. Halin's end degree conjecture (with S. Geschke, J. Kurkofka and R. Melcher), Israel J. Math. 253 (2023), 617-645. (Journal/ArXiv).
  18. Quickly proving Diestel's normal spanning tree criterion, Electron. J. Comb. 28(3) (2021), P3.59. (Journal/ArXiv).
  19. A note on minor antichains of uncountable graphs, J. Graph Theory 102(3) (2023), 552-555. (Journal/ArXiv).
  20. Proof of Halin's normal spanning tree conjecture, Israel J. Math. 246 (2021), 353-370. (Journal/ArXiv).
  21. A new obstruction for normal spanning trees, Bull. London Math. Soc. 53 (2021), 1220-1227. (Journal/ArXiv).
  22. Approximating infinite graphs by normal trees (with J. Kurkofka and R. Melcher), J. Combin. Theory (Series B) 148 (2021), 173-183. (Journal/ArXiv).
  23. A unified existence theorem for normal spanning trees, J. Combin. Theory (Series B) 145 (2020), 466-469. (Journal/ArXiv).
  24. Bounding the cop number of a graph by its genus (with N. Bowler, J. Erde and F. Lehner), SIAM J. Discrete Math. 35(4) (2021), 2459-2489.(Journal/ArXiv).
  25. Base partition for finitary-cofinatary matroid families (with J. Erde, P. Gollin, A. Joo, P. Knappe), Combinatorica 41 (2021), 31-52. (Journal/ArXiv).
  26. A Cantor-Bernstein-type theorem for spanning trees in infinite graphs (with J. Erde, P. Gollin, A. Joo, P. Knappe), J. Combin. Theory (Series B) 149 (2021), 16-22. (Journal/ArXiv).
  27. Eulerian spaces (with P. Gartside), Mem. Amer. Math. Soc. 292 (2023), 86 pp. (Journal/ArXiv).
  28. Circuits through prescribed edges (with P. Knappe), J. Graph Theory 93(4) (2020), 470-482. (Journal/ArXiv).
  29. Topological ubiquity of trees (with N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer and M. Teegen), J. Combin. Theory (Series B) 157 (2022), 70-95. (Journal/ArXiv).
  30. Hamilton decompositions of one-ended Cayley graphs (with J. Erde and F. Lehner), J. Combin. Theory (Series B) 140 (2020), 171-191. (Journal/ArXiv).
  31. N-arc and n-circle connected graph-like spaces (with P. Gartside), Topology Appl. 256 (2019), 7-25. (Journal/ArXiv).
  32. N-arc connected graphs (with P. Gartside and A. Mamatelashvili), Colloquium Math. (2023), 19-47. (Journal/ArXiv).
  33. Tangles and the Stone-Cech compactification of infinite graphs (with J. Kurkofka), J. Combin. Theory (Series B) 146 (2021), 34-60. (Journal/ArXiv).
  34. Ends, tangles and critical vertex sets (with J. Kurkofka), Math. Nachrichten 292(9) (2019), 2072-2091. (Journal/ArXiv).
  35. Partitioning edge-coloured infinite complete bipartite graphs into monochromatic paths (with C. Bürger), Israel J. Math. 238 (2020), 479-500. (Journal/ArXiv).
  36. Partitioning edge-coloured complete symmetric digraphs into monochromatic complete subgraphs (with C. Bürger, L. DeBiasio and H. Guggiari), Discrete Math. 341(11) (2018), 3134-3140. (Journal/ArXiv).
  37. Hamilton cycles in infinite cubic graphs, Electron. J. Comb. 25(3) (2018), #P3.3. (Journal/ArXiv).
  38. Graph-like compacta: characterizations and Eulerian loops (with B. Espinoza and P. Gartside), J. Graph Theory 95(2) (2020), 209-239. (Journal/ArXiv).
  39. Minimal obstructions for normal spanning trees (with N. Bowler and S. Geschke), Fund. Math. 241 (2018), 245-263. (Journal/ArXiv).
  40. Non-reconstructible locally finite graphs (with N. Bowler, J. Erde, P. Heinig and F. Lehner), J. Combin. Theory (Series B) 133 (2018), 122-152. (Journal/ArXiv).
  41. A counterexample to the reconstruction conjecture for locally finite trees (with N. Bowler, J. Erde, P. Heinig and F. Lehner), Bull. London Math. Soc. 49 (2017), 630-648. (Journal/ArXiv).
  42. A counterexample to Montgomery's conjecture on dynamic colourings of regular graphs (with N. Bowler, J. Erde, F. Lehner, M. Merker and K. Stavropoulos), Discrete Appl. Math. 229 (2017), 151-153. (Journal/ArXiv).
  43. Reconstructing compact metrizable spaces (with P. Gartside and R. Suabedissen), Proc. Amer. Math. Soc. 145 (2017), 429-443. (Journal/ArXiv).
  44. Reconstructing topological graphs and continua (with P. Gartside and R. Suabedissen), Colloquium Math. 148 (2017), 107-122. (Journal/ArXiv).
  45. A topological variation of the reconstruction conjecture (with R. Suabedissen), Glasg. Math. J. 59 (2017), 221-235. (Journal/ArXiv).
  46. Self-maps under the compact-open topology (with R. Lupton), Topology Appl. 212 (2016) 122-141. (Journal/ArXiv).
  47. Compactifications of ω*\{x} and Sκ\{x} (with R. Suabedissen), Topology Proc. 45 (2015) 151-173. (Journal/ArXiv).

 
  Seitenanfang  Impress 2024-09-17, Max Pitz