%0 Journal Article
%T On the Variance-Type Graph Irregularity Measures
%J Communications in Combinatorics and Optimization
%I Azarbaijan Shahid Madani University
%Z 2538-2128
%A Reti, Tamas
%A Ali, Akbar
%D 2020
%\ 12/01/2020
%V 5
%N 2
%P 169-178
%! On the Variance-Type Graph Irregularity Measures
%K non-regular graphs
%K irregularity measures
%K degree variance
%R 10.22049/cco.2020.26701.1131
%X Bell's degree-variance Var$!{}_{B}$ for a graph $G$, with the degree sequence ($d_1,d_2,cdots,d_n$) and size $m$, is defined as$Var!_{B} (G)=frac{1}{n} sum _{i=1}^{n}left[d_{i} -frac{2m}{n}right]^{2}$.In this paper, a new version of the irregularity measures of variance-type, denoted by $Var_q$, 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.
%U http://comb-opt.azaruniv.ac.ir/article_14026_0dc3a405cc9c0e6b0b9e2fa92c09cff8.pdf