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- Title
P-energy of generalized Petersen graphs.
- Authors
Joshi, Prajakta Bharat; Joseph, Mayamma
- 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.
- Subjects
GENERALIZATION; PETERSEN graphs; MOLECULAR graph theory; EIGENVALUES; BIPARTITE graphs
- Publication
Communications in Combinatorics & Optimization, 2022, Vol 7, Issue 1, p1
- ISSN
2538-2128
- Publication type
Article
- DOI
10.22049/cc0.2021.27102.1197