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Graphs with Few 3‐Cliques and 3‐Anticliques are 3‐Universal

Graphs with Few 3‐Cliques and 3‐Anticliques are 3‐Universal

Abstract For given integers we ask whether every large graph with a sufficiently small number of k ‐cliques and k ‐anticliques must contain an induced copy of every l ‐vertex graph. Here we prove this claim for with a sharp bound. A similar phenomenon is established as well for tournaments …