P-energy of generalized Petersen graphs
subject: do- matic partition; Graph energy; independent partition; k-ply domatic partition; P-matrix; partition matrix; total domatic partition
description: 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. 2022 The authors.
creator: Joshi P.B.; Joseph M.
source: Communications in Combinatorics and Optimization, Vol-7, No. 1, pp. 1-16.
publisher: Azarbaijan Shahid Madani University
date: 2022-01-01
rights: Restricted Access
relation: ISSN: 25382128
format: Online
language: English
type: Article
coverage: Joshi P.B., Department of Mathematics, CHRIST(Deemed to be University), Bengaluru, India; Joseph M., Department of Mathematics, CHRIST(Deemed to be University), Bengaluru, India