English

The Erd\"os-S\'os Conjecture for Spiders

Combinatorics 2019-12-02 v2

Abstract

The Erd\"os-S\'os conjecture states that if GG is a graph with average degree more than k1k-1, then G contains every tree of kk edges. A spider is a tree with at most one vertex of degree more than 2. In this paper, we prove that Erd\"os-S\'os conjecture holds for all spiders.

Keywords

Cite

@article{arxiv.1804.06567,
  title  = {The Erd\"os-S\'os Conjecture for Spiders},
  author = {Genghua Fan and Yanmei Hong and Qinghai Liu},
  journal= {arXiv preprint arXiv:1804.06567},
  year   = {2019}
}

Comments

17 pages

R2 v1 2026-06-23T01:27:13.629Z