Product structure of graphs with an excluded minor

This paper shows that Kt-minor-free (and Ks,t-minor-free) graphs G are subgraphs of products of a tree-like graph H (of bounded treewidth) and a complete graph Km. Our results include optimal bounds on the treewidth of H and optimal bounds (to within a constant factor) on m in terms of the number of...

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Hlavní autoři: Illingworth, F, Scott, A, Wood, D
Médium: Journal article
Jazyk:English
Vydáno: American Mathematical Society 2024