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arXiv · 1804.06567

The Erdös-Sós Conjecture for Spiders

Genghua Fan·Yanmei Hong·Qinghai Liu
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Abstract

The Erdös-Sós conjecture states that if $G$ is a graph with average degree more than $k-1$, then G contains every tree of $k$ edges. A spider is a tree with at most one vertex of degree more than 2. In this paper, we prove that Erdös-Sós conjecture holds for all spiders.

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Genghua Fan, Yanmei Hong, Qinghai Liu. 2019-11-28. The Erdös-Sós Conjecture for Spiders. https://arxiv.org/abs/1804.06567

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