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Local-Global Graph Decompositions

• Locally chordal graphs (with Tara Abrishami, Paul Knappe and Jonas Kobler), 2025. (arXiv)
• Canonical graph decompositions and local separations: From infinite coverings to a finite combinatorial theory (with Johannes Carmesin, Paul Knappe and Jan Kurkofka), 2025. (arXiv)
• Canonical graph decompositions via coverings (with Reinhard Diestel, Paul Knappe and Jan Kurkofka), to appear in Transactions of the American Mathematical Society (TAMS). (arXiv)

Tangles

• On vertex sets inducing tangles (with Sandra Albrechtsen, Hanno von Bergen, Paul Knappe and Paul Wollan), 2024, submitted. (arXiv)
• Efficiently distinguishing all tangles in locally finite graphs (with Paul Knappe), Journal of Combinatorial Theory, Series B, Volume 167, Pages 189-214. (Journal, arXiv)
• Point sets and functions inducing tangles of set separations (with Reinhard Diestel and Christian Elbracht), Journal of Combinatorics, Volume 15, Number 3, Pages 283-306. (Journal, arXiv)

Coarse Graph Theory

• A characterisation of graphs quasi-isometric to K₄-minor-free graphs (with Sandra Albrechtsen, Paul Knappe and Paul Wollan), 2024, submitted. (arXiv)
• A structural duality for path-decompositions into parts of small radius (with Sandra Albrechtsen, Reinhard Diestel, Ann-Kathrin Elm, Eva Fluck, Paul Knappe and Paul Wollan), 2023. (arXiv)
• A Menger-type theorem for two induced paths (with Sandra Albrechtsen, Tony Huynh, Paul Knappe and Paul Wollan), SIAM Journal on Discrete Mathematics, Volume 38, Issue 2, Pages 1438-1450. (Journal, arXiv)

Connectivity and Tree-Structure

• Hitting cycles through prescribed vertices or edges (with Nathan Bowler, Ebrahim Ghorbani, Florian Gut and Florian Reich), 2024, submitted. (arXiv)
• Linked tree-decompositions into finite parts (with Sandra Albrechtsen, Paul Knappe and Max Pitz), 2024, submitted. (arXiv)
• Counterexamples regarding linked and lean tree-decompositions of infinite graphs (with Sandra Albrechtsen, Paul Knappe and Max Pitz), Journal of Graph Theory. (Journal, arXiv)
• Menger's Theorem in bidirected graphs (with Nathan Bowler, Ebrahim Ghorbani, Florian Gut and Florian Reich), 2023, submitted. (arXiv)
• A grid theorem for strong immersions of walls (with Reinhard Diestel, Paul Knappe and Paul Wollan), Journal of Graph Theory, 110, Pages 23-32. (Journal, arXiv)
• The Lovász-Cherkassky theorem for locally finite graphs with ends (with Attila Joó, Paul Knappe, Jan Kurkofka and Ruben Melcher), Discrete Mathematics, Volume 346, Issue 12, 113586. (Journal, arXiv)

Theses

• How to build a tree of tangles by local refinements, 2020, MSc dissertation. (PDF)