Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 5 2 2020 12 01 On the Variance-Type Graph Irregularity Measures 169 178 14026 10.22049/cco.2020.26701.1131 EN Tamas Réti Obuda University, Budapest, Hungary Akbar Ali University of Hail, Hail, Saudi Arabia Journal Article 2019 11 25 Bell's degree-variance Var$\!{}_{B}$ for a graph $G$, with the degree sequence ($d_1,d_2,\ldots,d_n$) 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. https://comb-opt.azaruniv.ac.ir/article_14026_0dc3a405cc9c0e6b0b9e2fa92c09cff8.pdf