English

A spectral condition for odd cycles in graphs

Combinatorics 2007-11-22 v2

Abstract

We give a sharp spectral condition for the existence of odd cycles in a graph of given order. We also prove a related stability result.

Keywords

Cite

@article{arxiv.0707.4499,
  title  = {A spectral condition for odd cycles in graphs},
  author = {Vladimir Nikiforov},
  journal= {arXiv preprint arXiv:0707.4499},
  year   = {2007}
}

Comments

The main theorem is improved. Updated references

R2 v1 2026-06-21T09:03:12.578Z