P-energy of generalized Petersen graphs
- Title
- P-energy of generalized Petersen graphs
- Creator
- Joshi P.B.; Joseph M.
- 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.
- Source
- Communications in Combinatorics and Optimization, Vol-7, No. 1, pp. 1-16.
- Date
- 2022-01-01
- Publisher
- Azarbaijan Shahid Madani University
- Subject
- do- matic partition; Graph energy; independent partition; k-ply domatic partition; P-matrix; partition matrix; total domatic partition
- 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
- Rights
- Restricted Access
- Relation
- ISSN: 25382128
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Joshi P.B.; Joseph M., “P-energy of generalized Petersen graphs,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/14851.