do- matic partition; Graph energy; independent partition; k-ply domatic partition; P-matrix; partition matrix; total domatic partition
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.
Communications in Combinatorics and Optimization, Vol-7, No. 1, pp. 1-16.
https://doi.org/10.22049/CCO.2021.27102.1197 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85121915858&doi=10.22049%2fCCO.2021.27102.1197&partnerID=40&md5=5d7ec16e07992efabdbb70c7d97bb46a
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