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arXiv · 2607.18122

Exact generalized Turán number of vertex-disjoint paths of length two

Qi Wu·Long-Tu Yuan
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Abstract

We determine the generalized Turán number of vertex-disjoint paths of length two and characterize all corresponding extremal graphs. Our proof combines the Lovász form of the Kruskal--Katona theorem with a discrete convexity argument.

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Qi Wu, Long-Tu Yuan. 2026-07-20. Exact generalized Turán number of vertex-disjoint paths of length two. https://arxiv.org/abs/2607.18122

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