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Tree-width dichotomy

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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Related contextCo-authorshipAuthorshipAuthorshipTopic signalTopic signalWTree-width dichotomypreprint / 2021AVadim LozinResearcherAIgor RazgonResearcherTmath.CO8936 worksTDiscrete Mathematics1775 works
PaperSignal 104 links

Tree-width dichotomy

preprint / 2021

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