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arXiv · 2610.38430

Turán number of three disjoint cliques of arbitrary sizes

Alexandr Kostochka·Dadong Peng·Zimu Xiang·Liang Zhang
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Abstract

The Turán number $\rm ex(n,H)$ of a given graph $H$ is the maximum number of edges in an $n$-vertex $H$-free graph. In this paper, for all $p\ge q\ge r\ge 2$ and $n\geq p+q+r$, we determine the exact value of $\rm ex(n,K_p\cup K_q\cup K_r)$ and describe all extremal graphs.

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Alexandr Kostochka, Dadong Peng, Zimu Xiang, Liang Zhang. 2026-10-28. Turán number of three disjoint cliques of arbitrary sizes. https://arxiv.org/abs/2610.38430

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