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arXiv · 2209.03426

Some exact results for non-degenerate generalized Turán problems

Dániel Gerbner
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Abstract

The generalized Turán number $\mathrm{ex}(n,H,F)$ is the maximum number of copies of $H$ in $n$-vertex $F$-free graphs. We consider the case where $χ(H)<χ(F)$. There are several exact results on $\mathrm{ex}(n,H,F)$ when the extremal graph is a complete $(χ(F)-1)$-partite graph. We obtain multiple exact results with other kinds of extremal graphs.

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Dániel Gerbner. 2022-09-07. Some exact results for non-degenerate generalized Turán problems. https://arxiv.org/abs/2209.03426

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