English

Universal bridge-free graphs

Logic 2008-02-03 v1

Abstract

We prove that there is no countable universal BnB_n-free graph for all nn and that there is no countable universal graph in the class of graphs omitting all cycles of length at most 2k2k for k2k\ge 2.

Cite

@article{arxiv.math/9409206,
  title  = {Universal bridge-free graphs},
  author = {Martin Goldstern and Menachem Kojman},
  journal= {arXiv preprint arXiv:math/9409206},
  year   = {2008}
}