English

Triangle-free graphs with the maximum number of cycles

Combinatorics 2015-03-24 v2

Abstract

It is shown that for n141n\geq 141, among all triangle-free graphs on nn vertices, the complete equibipartite graph is the unique triangle-free graph with the greatest number of cycles.

Keywords

Cite

@article{arxiv.1501.01088,
  title  = {Triangle-free graphs with the maximum number of cycles},
  author = {Andrii Arman and David S. Gunderson and Sergei Tsaturian},
  journal= {arXiv preprint arXiv:1501.01088},
  year   = {2015}
}