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Generalized Turán results for matchings

Published 20 Apr 2024 in math.CO | (2404.13335v1)

Abstract: Given graphs $H$ and $F$, the generalized Tur\'an number $\mathrm{ex}(n,H,F)$ is the largest number of copies of $H$ in $n$-vertex $F$-free graphs. We study the case when either $H$ or $F$ is a matching. We obtain several asymptotic and exact results.

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