English

Eigenvalues and degree deviation in graphs

Combinatorics 2007-05-23 v1

Abstract

Given a graph G of order n and size m, let s(G)= sum|d(u)-2m/n|, where the sum is taken over all vertices u of G. We investigate upper and lower bounds on eigenvalues of G in terms of s(G).

Keywords

Cite

@article{arxiv.math/0506257,
  title  = {Eigenvalues and degree deviation in graphs},
  author = {Vladimir Nikiforov},
  journal= {arXiv preprint arXiv:math/0506257},
  year   = {2007}
}