In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers
Control and Optimization
Bell's Degree Variance and Degree Deviation in Graphs: Analyzing Optimal Graphs Based on These Irregularity Measures

Mohsen Sayadi; Hasan Barzegar; Saeid Alikhani; Nima Ghanbari

Volume 10, Issue 1 , June 2025, , Pages 109-123

https://doi.org/10.30473/coam.2025.73746.1288

Abstract
  An irregularity measure (IM) of a connected graph $G$ is defined as a non-negative graph invariant that satisfies the condition‎ ‎$IM(G) = 0$ if and only if $G$ is a regular graph‎. ‎Among the prominent degree-based irregularity measures‎ ‎are Bell's degree variance, denoted as ...  Read More