中文

The Cycle-Complete graph Ramsey numbers

组合数学 2007-05-23 v1

摘要

We find the Ramsey number of a cycle vs. a complete graph when the order of the cycle is at least 4 times as large as the order of the complete graph. This partially confirms a conjecture of Erd\H{o}s, Faudree, Rousseau, and Schelp made in 1978.

关键词

引用

@article{arxiv.math/0404501,
  title  = {The Cycle-Complete graph Ramsey numbers},
  author = {Vladimir Nikiforov},
  journal= {arXiv preprint arXiv:math/0404501},
  year   = {2007}
}

备注

23 pages, accepted in Comb. Prob. and Comp