中文

Joints in graphs

组合数学 2007-05-23 v1

摘要

In 1969 Erdoes found a lower bound on the number of (r+1)-cliques sharing an edge in graphs with n vertices and t(r,n)+1 edges, where t(r,n) is the size of the Turan graph of order n and r color classes. We improve Erdoes's bound and prove a related stability result.

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引用

@article{arxiv.math/0410217,
  title  = {Joints in graphs},
  author = {B. Bollobas and V. Nikiforov},
  journal= {arXiv preprint arXiv:math/0410217},
  year   = {2007}
}

备注

13 pages