Author

Xinyu Li

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Preprint Aug 2026

A local clique density theorem in $H$-free graphs

In 2016, Reiher's clique density theorem determined the minimum number of copies of $K_t$ in a graph with a prescribed edge density. In this paper, we investigate its local version and prove a local clique density theorem in $H$-free graphs as follows. For integers $r$ and $t$ with $2\leq t\leq r-1$, any $r$-chromatic...

Jia-Ao Li, Xinyu Li, Yan Wang et al. · 0 citations