Azarbaijan Shahid Madani University Communications in Combinatorics and Optimization 2538-2128 7 1 2022 06 01 Þ-energy of generalized Petersen graphs 1 16 14168 10.22049/cco.2021.27102.1197 EN Prajakta Bharat Joshi Research scholar, Department of mathematics, CHRIST (Deemed to be University), Bangalore, India Mayamma Joseph Department of mathematics, Faculty, CHRIST (Deemed to be University), Bangalore. Journal Article 2021 01 29 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. https://comb-opt.azaruniv.ac.ir/article_14168_650b69137e573da2101f8309df73ca34.pdf