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arXiv · 2012.01115

Tree-width dichotomy

Vadim Lozin·Igor Razgon
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Abstract

We prove that the tree-width of graphs in a hereditary class defined by a finite set $F$ of forbidden induced subgraphs is bounded if and only if $F$ includes a complete graph, a complete bipartite graph, a tripod (a forest in which every connected component has at most 3 leaves) and the line graph of a tripod.

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Vadim Lozin, Igor Razgon. 2021-01-05. Tree-width dichotomy. https://arxiv.org/abs/2012.01115

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