English

Books in graphs

Combinatorics 2007-05-23 v1

Abstract

A book of size qq is a set of qq triangles sharing a common edge. We study the size of the maximal book in a graph as a function of the number of its edges. In particular, we answer two questions of Erdos about graphs that are union of triangles.

Keywords

Cite

@article{arxiv.math/0405080,
  title  = {Books in graphs},
  author = {Bela Bollobas and Vladimir Nikiforov},
  journal= {arXiv preprint arXiv:math/0405080},
  year   = {2007}
}

Comments

13 pages, accepted in Eur. J. Combin