Interval minors of complete bipartite graphs

Abstract

Interval minors of bipartite graphs were recently introduced by Jacob Fox in the study of Stanley-Wilf limits. We investigate the maximum number of edges in Kr,s-interval minor free bipartite graphs. We determine exact values when r=2 and describe the extremal graphs. For r=3, lower and upper bounds are given and the structure of K3,s-interval minor free graphs is studied.

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