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arXiv · 1912.10287

Some exact results for regular Turán problems

Dániel Gerbner·Balázs Patkós·Zsolt Tuza·Máté Vizer
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Abstract

As a variant of the famous Turán problem, we study $\mathrm{rex}(n,F)$, the maximum number of edges that an $n$-vertex regular graph can have without containing a copy of $F$. We determine $\mathrm{rex}(n,K_{r+1})$ for all pairs of integers $r$ and large enough $n$. For every tree $T$, we determine $\mathrm{rex}(n,T)$ for every $n$ large enough.

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Dániel Gerbner, Balázs Patkós, Zsolt Tuza, Máté Vizer. 2019-12-21. Some exact results for regular Turán problems. https://arxiv.org/abs/1912.10287

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