@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}
}