Tree-width dichotomy

Published 2 Dec 2020 in math.CO and cs.DM | (2012.01115v2)

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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