On the purity of minor-closed classes of graphs

Given a graph H with at least one edge, let gapH(n) denote the maximum difference between the numbers of edges in two n-vertex edge-maximal graphs with no minor H. We show that for exactly four connected graphs H (with at least two vertices), the class of graphs with no minor H is pure, that is, gap...

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Bibliographic Details
Main Authors: McDiarmid, C, Przykucki, M
Format: Journal article
Published: Elsevier 2018