中文

Large generalized books are p-good

组合数学 2007-05-23 v1

摘要

An r-book of size q is a union of q (r+1)-cliques sharing a common r-clique. We find exactly the Ramsey number of a p-clique versus r-books of sufficiently large size. Furthermore, we find asymptotically the Ramsey number of any fixed p-chromatic graph versus r-books of sufficiently large size. The key element in our proofs is Szemeredi's Regularity Lemma.

关键词

引用

@article{arxiv.math/0405140,
  title  = {Large generalized books are p-good},
  author = {Vladimir Nikiforov and Cecil Rousseau},
  journal= {arXiv preprint arXiv:math/0405140},
  year   = {2007}
}

备注

16 pages, accepted in JCTB