@article { author = {RĂ©ti, Tamas and Ali, Akbar}, title = {On the Variance-Type Graph Irregularity Measures}, journal = {Communications in Combinatorics and Optimization}, volume = {5}, number = {2}, pages = {169-178}, year = {2020}, publisher = {Azarbaijan Shahid Madani University}, issn = {2538-2128}, eissn = {2538-2136}, doi = {10.22049/cco.2020.26701.1131}, abstract = {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.}, keywords = {non-regular graphs,irregularity measures,degree variance}, url = {http://comb-opt.azaruniv.ac.ir/article_14026.html}, eprint = {http://comb-opt.azaruniv.ac.ir/article_14026_0dc3a405cc9c0e6b0b9e2fa92c09cff8.pdf} }