Title of article :
þ-energy of generalized petersen graphs
Author/Authors :
joshi, prajakta christ (deemed to be university) - department of mathematics, bangalore, india , joseph, mayamma christ (deemed to be university) - department of mathematics, bangalore, india
Abstract :
for a given graph 𝐺, its 𝓅-energy is the sum of the absolute values of the eigenvalues of the 𝓅-matrix of 𝐺. in this article, we explore the 𝓅-energy of generalized petersen graphs 𝐺(𝑝,𝑘) for various vertex partitions such as independent, domatic, total domatic and k ply domatic partitions and partition containing a perfect matching in 𝐺(𝑝,𝑘) further, we present a python program to obtain the 𝓅-energy of 𝐺(𝑝,𝑘) for the vertex partitions under consideration and examine the relation between them.
Keywords :
graph energy , partition matrix , 𝓅 , matrix , independent partition , domatic partition , total domatic partition , 𝑘 , ply domatic partition
Journal title :
Communications in Combinatorics and Optimization
Journal title :
Communications in Combinatorics and Optimization
