English

Walks and the spectral radius of graphs

Combinatorics 2007-05-23 v2

Abstract

We give upper and lower bounds on the spectral radius of a graph in terms of the number of walks. We generalize a number of known results.

Keywords

Cite

@article{arxiv.math/0506259,
  title  = {Walks and the spectral radius of graphs},
  author = {Vladimir Nikiforov},
  journal= {arXiv preprint arXiv:math/0506259},
  year   = {2007}
}

Comments

Corrections were made in Theorems 5 and 11 (the new numbers are different), following a remark of professor Yaoping Hou