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arXiv · 1412.2407

Multigraphs without large bonds are wqo by contraction

Marcin Kamiński·Jean-Florent Raymond·Théophile Trunck
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Abstract

We show that the class of multigraphs with at most $p$ connected components and bonds of size at most $k$ is well-quasi-ordered by edge contraction for all positive integers $p,k$. (A bond is a minimal non-empty edge cut.) We also characterize canonical antichains for this relation and show that they are fundamental.

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Marcin Kamiński, Jean-Florent Raymond, Théophile Trunck. 2017-11-22. Multigraphs without large bonds are wqo by contraction. https://arxiv.org/abs/1412.2407

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