English

Spectral radius minus average degree: a better bound

Combinatorics 2014-07-17 v1

Abstract

Collatz and Sinogowitz had proposed to measure the departure of a graph GG from regularity by the difference of the (adjacency) spectral radius and the average degree: ϵ(G)=ρ(G)2mn\epsilon(G)=\rho(G)-\frac{2m}{n}. We give here new lower bounds on this quantity, which improve upon the currently known ones.

Keywords

Cite

@article{arxiv.1407.4285,
  title  = {Spectral radius minus average degree: a better bound},
  author = {Felix Goldberg},
  journal= {arXiv preprint arXiv:1407.4285},
  year   = {2014}
}
R2 v1 2026-06-22T05:05:20.249Z