Fachbereich Mathematik 
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Dr. Max Pitz


Publications and Preprints

  1. Ubiquity in graphs III: Ubiquity of locally finite graphs with extensive tree-decompositions (with N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer and M. Teegen), submitted. (ArXiv).

  2. Ubiquity in graphs II: Ubiquity of graphs with nowhere non-linear end structure (with N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer and M. Teegen), submitted. (ArXiv).

  3. Orientations of infinite graphs (with M. Koloschin), submitted. (ArXiv). Update 1 Dec 2020: We have found a gap in our proof, reducing our bound to 4k. We are currently chasing a number of ideas getting us back to the original 2k and will upload an update as soon as possible.

  4. Halin's end degree conjecture (with S. Geschke, J. Kurkofka and R. Melcher), submitted. (ArXiv).

  5. Quickly proving Diestel's normal spanning tree criterion, submitted. (ArXiv).

  6. A note on minor antichains of uncountable graphs, submitted. (ArXiv).

  7. Proof of Halin's normal spanning tree conjecture, to appear in Israel J. Math. (ArXiv).

  8. A new obstruction for normal spanning trees, submitted. (ArXiv).

  9. Approximating infinite graphs by normal trees (with J. Kurkofka and R. Melcher), J. Combin. Theory (Series B) 148 (2021), 173-183. (Journal/ArXiv).

  10. A unified existence theorem for normal spanning trees, J. Combin. Theory (Series B) 145 (2020), 466-469. (Journal/ArXiv).

  11. Bounding the cop number of a graph by its genus (with N. Bowler, J. Erde and F. Lehner), submitted. (ArXiv).

  12. Base partition for finitary-cofinatary matroid families (with J. Erde, P. Gollin, A. Joo, P. Knappe), published electronically in Combinatorica on 30 November 2020. (Journal/ArXiv).

  13. A Cantor-Bernstein-type theorem for spanning trees in infinite graphs (with J. Erde, P. Gollin, A. Joo, P. Knappe), to appear in J. Combin. Theory (Series B). (ArXiv).

  14. Eulerian spaces (with P. Gartside), submitted. (ArXiv).

  15. Circuits through prescribed edges (with P. Knappe), J. Graph Theory 93(4) (2020) 470-482. (Journal/ArXiv).

  16. Ubiquity in graphs I: Topological ubiquity of trees (with N. Bowler, C. Elbracht, J. Erde, P. Gollin, K. Heuer and M. Teegen), submitted. (ArXiv).

  17. Hamilton decompositions of one-ended Cayley graphs (with J. Erde and F. Lehner), J. Combin. Theory (Series B) 140 (2020) 171-191. (Journal/ArXiv).

  18. N-arc and n-circle connected graph-like spaces (with P. Gartside), Topology Appl. 256 (2019) 7-25. (Journal/ArXiv).

  19. N-arc connected graphs (with P. Gartside and A. Mamatelashvili), submitted. (ArXiv).

  20. Tangles and the Stone-Cech compactification of infinite graphs (with J. Kurkofka), J. Combin. Theory (Series B) 146 (2021), 34-60. (Journal/ArXiv).

  21. Ends, tangles and critical vertex sets (with J. Kurkofka), Math. Nachrichten 292(9) (2019) 2072-2091. (Journal/ArXiv).

  22. Partitioning edge-coloured infinite complete bipartite graphs into monochromatic paths (with C. Bürger), Israel J. Math. 238 (2020), 479-500. (Journal/ArXiv).

  23. 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).

  24. Hamilton cycles in infinite cubic graphs, Electron. J. Comb. 25(3) (2018), #P3.3. (Journal/ArXiv).

  25. Graph-like compacta: characterizations and Eulerian loops (with B. Espinoza and P. Gartside), J. Graph Theory 95(2) (2020), 209-239. (Journal/ArXiv).

  26. Minimal obstructions for normal spanning trees (with N. Bowler and S. Geschke), Fund. Math. 241 (2018), 245-263. (Journal/ArXiv).

  27. 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).

  28. 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).

  29. 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).

  30. Reconstructing compact metrizable spaces (with P. Gartside and R. Suabedissen), Proc. Amer. Math. Soc. 145 (2017), 429-443. (Journal/ArXiv).

  31. Reconstructing topological graphs and continua (with P. Gartside and R. Suabedissen), Colloquium Math. 148 (2017), 107-122. (Journal/ArXiv).

  32. A topological variation of the reconstruction conjecture (with R. Suabedissen), Glasg. Math. J. 59 (2017), 221-235. (Journal/ArXiv).

  33. Self-maps under the compact-open topology (with R. Lupton), Topology Appl. 212 (2016) 122-141. (Journal/ArXiv).

  34. Compactifications of ω*\{x} and Sκ\{x} (with R. Suabedissen), Topology Proc. 45 (2015) 151-173. (Journal/ArXiv).


 
  Seitenanfang  Impress 2021-01-16, Max Pitz