Search Results for author: Maximilian Teegen

Found 3 papers, 1 papers with code

Ubiquity in graphs III: Ubiquity of locally finite graphs with extensive tree-decompositions

no code implementations24 Dec 2020 Nathan Bowler, Christian Elbrach, Joshua Erde, J. Pascal Gollin, Karl Heuer, Max Pitz, Maximilian Teegen

A graph $G$ is said to be ubiquitous, if every graph $\Gamma$ that contains arbitrarily many disjoint $G$-minors automatically contains infinitely many disjoint $G$-minors.

Combinatorics 05C63, 05C83

Edge-connectivity and tree-structure in finite and infinite graphs

no code implementations14 Dec 2020 Christian Elbracht, Jan Kurkofka, Maximilian Teegen

We show that every graph admits a canonical tree-like decomposition into its $k$-edge-connected pieces for all $k\in\mathbb{N}\cup\{\infty\}$ simultaneously.

Combinatorics Discrete Mathematics 05C40 (Primary), 05C05, 05C69, 05C70, 05C83, 05C63 (Secondary)

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