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Generalized Turán problems for disjoint copies of graphs

2017/12/19 by Dániel Gerbner, Gerbner, Dániel, Abhishek Methuku +3 · 2 citations
Mathematics · #Limits and Structures in Graph Theory #Graph theory and applications #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1712.07072

Abstract

Given two graphs H and F, the maximum possible number of copies of H in an F-free graph on n vertices is denoted by ex(n,H,F). We investigate the function ex(n,H,kF), where kF denotes k vertex disjoint copies of a fixed graph F. Our results include cases when F is a complete graph, cycle or a complete bipartite graph.

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