Azarbaijan Shahid Madani UniversityCommunications in Combinatorics and Optimization2538-21285220201201On the Variance-Type Graph Irregularity Measures1691781402610.22049/cco.2020.26701.1131ENTamasRetiObuda University, Budapest, HungaryAkbarAliUniversity of Hail, Hail, Saudi Arabia0000-0001-8160-4196Journal Article20191125Bell'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<br />$Var!_{B} (G)=frac{1}{n} sum _{i=1}^{n}left[d_{i} -frac{2m}{n}right]^{2}$.<br />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.http://comb-opt.azaruniv.ac.ir/article_14026_0dc3a405cc9c0e6b0b9e2fa92c09cff8.pdf