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I am a recent PhD graduate, being awarded my PhD by Monash University in June 2026. My PhD was completed under the supervisor of Professor David Wood. My interests are in structural graph theory, particularly graph minor theory, graph product structure theory, and coarse graph theory.
Email: mdistel24@gmail.com
Publications:
Marc Distel, Robert Hickingbotham, Tony Huynh, and David R. Wood. Improved product structure for graphs on surfaces. Discrete Math. Theor. Comput. Sci., 24(2):#6, 2022. doi:10.46298/dmtcs.8877.
Rutger Campbell, Marc Distel, J. Pascal Gollin, Daniel J. Harvey, Kevin Hendrey, Robert Hickingbotham, Bojan Mohar, David R. Wood. Graphs of linear growth have bounded treewidth. Electron. J. Combin. 30(3), 2023. doi:10.37236/11657.
Rutger Campbell, Katie Clinch, Marc Distel, J. Pascal Gollin, Kevin Hendrey, Robert Hickingbotham, Tony Huynh, Freddie Illingworth, Youri Tamitegama, Jane Tan, David R. Wood. Product structure of graph classes with bounded treewidth. Combin. Probab. Comput. 33(3): 351--376, 2024. doi:10.1017/S0963548323000457.
Marc Distel, Vida Dujmović, David Eppstein, Robert Hickingbotham, Gwenaël Joret, Piotr Micek, Pat Morin, Michał T. Seweryn, David R. Wood. Product structure extension of the Alon–Seymour–Thomas theorem. SIAM J. Discrete Math. 38:3 2095--2107, 2024. doi:10.1137/23M1591773.
Marc Distel, Robert Hickingbotham, Michał T. Seweryn, David R. Wood. Powers of planar graphs, blocking partitions and product structure. Innovations in Graph Theory 1:39--86, 2024. doi:10.5802/igt.4.
Marc Distel, Kevin Hendrey, Nikolai Karol, David R. Wood, Jung Hon Yip: Treewidth 2 in the planar graph product structure theorem. Discrete Math. Theoret. Comput. Sci. 27(2), 2025. doi:10.46298/dmtcs.14785.
Marc Distel. Proper minor-closed classes of graphs have Assouad–Nagata dimension 2. Combin. Probab. Comput., 35(1), 2026. doi:10.1017/S0963548325100175.
Marc Distel, Vida Dujmović, Gwenaël Joret, Piotr Micek, Pat Morin, David R. Wood. Planar graphs in blowups of fans, Advances in Combinatorics, 2026:#1. doi:10.19086/aic.2026.1.
Marc Distel. An improved quasi-isometry between graphs of bounded cliquewidth and graphs of bounded treewidth. Journal of Graph Theory, 2026. doi:10.1002/jgt.70037.
Preprints:
Rutger Campbell, James Davies, Marc Distel, Bryce Frederickson, J. Pascal Gollin, Kevin Hendrey, Robert Hickingbotham, Sebastian Wiederrecht, David R. Wood, Liana Yepremyan. Treewidth, Hadwiger number, and induced minors. arXiv:2410.19295, 2024.
Marc Distel. Proper minor-closed classes in blowups of fans. arXiv:2409.13248, 2024. Merged into Planar graphs in blowups of fans.
Marc Distel. Graphs excluding a minor in blowups of treewidth 3 graphs. arXiv:2510.09063, 2025.
Sandra Albrechtsen, Marc Distel, Agelos Georgakopoulos. Excluding K_{2,t} as a fat minor. arXiv:2510.14644, 2025.
Marc Distel. An alternative characterisation of graphs quasi-isometric to graphs of bounded treewidth. arXiv:2512.21946, 2025.
Sandra Albrechtsen, Marc Distel, Agelos Georgakopoulos. Small counterexamples to the fat minor conjecture. arXiv:2601.05761, 2026.
Marc Distel, Ugo Giocanti, Jędrzej Hodor, Clément Legrand-Duchesne, and Piotr Micek. A coarse Gallai theorem. arXiv:2601.18439, 2026.
Marc Distel, Neel Kaul, Raj Kaul, and David R. Wood. Tree-partitions and small-spread tree-decompositions. arXiv:2604.05690, 2026.
Conference Papers:
Marc Distel, Robert Hickingbotham, Michał T. Seweryn, David R. Wood. Powers of planar graphs, blocking partitions and product structure. European Conference on Combinatorics, Graph Theory and Applications (Eurocomb ’23), 355--361, 2023. doi:10.5817/CZ.MUNI.EUROCOMB23-049.
Papers in Edited Books:
Marc Distel, David R. Wood. Tree-partitions with bounded degree trees. 2021–22 MATRIX Annals 203--212, Springer, 2024. doi:10.1007/978-3-031-47417-0_11.
Research Talks:
“Proper Minor-Closed Classes of Graphs have Assouad--Nagata Dimension 2” given in May 2023 at Monash University, Melbourne, Australia.
“The intersection of graph theory and metric geometry” given in August 2023 at Monash University, Melbourne, Australia.
“Proper Minor-Closed Classes of Graphs have Assouad-Nagata Dimension 2” given in December 2023 at The University of Western Australia, Perth, Australia, as part of the 45th ACC.
“Bounded Cliquewidth Graphs have a Dominated Partition whose Quotient has Bounded Treewidth” given in April 2024 at Monash University, Melbourne, Australia.
“Further improvements to the product-structure extension of the Alon-Seymour-Thomas theorem” given in July 2024 at Monash University, Melbourne, Australia.
“Proper Minor-Closed Classes as O( √ n)-blowups” given in December 2024 at The University of Queensland, Brisbane, Australia, as part of the 46th ACC.
“Improvements to the Product Structure Extension of the Alon–Seymour–Thomas Theorem” given in February 2025 at Warwick University, Coventry, United Kingdom.
“Global structure of minor-closed graph classes” given in July 2025 at Monash University, Melbourne, Australia.
“Small examples and counterexamples to the fat-minor conjecture” given in November 2025 at Jagiellonian University, Krakow, Poland. Link: https://www.youtube.com/watch?v=LxNUP9-1QhM.
Theses:
Marc Distel. Global Structure of Minor-Free Graphs and Beyond. Monash University. PhD Thesis, 2026. doi:10.26180/32329152.v1
Marc Distel. Asymptotic Dimension: Structural Graph Theory meets Metric Geometry. Honours Thesis, 2021. Link: https://drive.google.com/file/d/1nzfRJSLc2S_KQJB4j9vJefL2IcXy4xuU/view?usp=sharing.
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