English

The spectral radius of subgraphs of regular graphs

Combinatorics 2007-05-25 v1

Abstract

We give a bound on the spectral radius of subgraphs of regular graphs with given order and diameter. We give a lower bound on the smallest eigenvalue of a nonbipartite regular graph of given order and diameter.

Keywords

Cite

@article{arxiv.0705.3457,
  title  = {The spectral radius of subgraphs of regular graphs},
  author = {Vladimir Nikiforov},
  journal= {arXiv preprint arXiv:0705.3457},
  year   = {2007}
}