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arXiv · 0904.1703

Closure Under Minors of Undirected Entanglement

Walid Belkhir
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Abstract

Entanglement is a digraph complexity measure that origins in fixed-point theory. Its purpose is to count the nested depth of cycles in digraphs. In this paper we prove that the class of undirected graphs of entanglement at most $k$, for arbitrary fixed $k \in \mathbb{N}$, is closed under taking minors. Our proof relies on the game theoretic characterization of entanglement in terms of Robber and Cops games.

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Walid Belkhir. 2009-04-10. Closure Under Minors of Undirected Entanglement. https://arxiv.org/abs/0904.1703

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