Abstract
Bell's degree-variance Var(B) for a graph G, with the degree sequence (d(1), d(2), ..., d(n)) and size m, is defined as V ar(B)(G) = 1/n Sigma(n)(i=1) [d(i) - 2m/n](2). In this paper, a new version of the irregularity measures of variance-type, denoted by V ar(q), is introduced and discussed. Based on a comparative study, it is demonstrated that the newly proposed irregularity measure Var(q) possess a better discrimination ability than the classical Bell's degree-variance in several cases.