%0 Journal Article
%T Þ-energy of generalized Petersen graphs
%J Communications in Combinatorics and Optimization
%I Azarbaijan Shahid Madani University
%Z 2538-2128
%A Joshi, Prajakta Bharat
%A Joseph, Mayamma
%D 2022
%\ 06/01/2022
%V 7
%N 1
%P 1-16
%! Þ-energy of generalized Petersen graphs
%K Graph energy
%K partition matrix
%K Þ-matrix
%K vertex partitions
%R 10.22049/cco.2021.27102.1197
%X For a given graph $ G $, its $mathscr{P}$-energy is the sum of the absolute values of the eigenvalues of the $mathscr{P}$-matrix of $ G $. In this article, we explore the $mathscr{P}$-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 $mathscr{P}$-energy of $ G(p,k) $ for the vertex partitions under consideration and examine the relation between them.
%U http://comb-opt.azaruniv.ac.ir/article_14168_650b69137e573da2101f8309df73ca34.pdf