@article {
author = {Joshi, Prajakta and Joseph, Mayamma},
title = {Þ-energy of generalized Petersen graphs},
journal = {Communications in Combinatorics and Optimization},
volume = {7},
number = {1},
pages = {1-16},
year = {2022},
publisher = {Azarbaijan Shahid Madani University},
issn = {2538-2128},
eissn = {2538-2136},
doi = {10.22049/cco.2021.27102.1197},
abstract = {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.},
keywords = {Graph energy,partition matrix,Þ-matrix,vertex partitions},
url = {http://comb-opt.azaruniv.ac.ir/article_14168.html},
eprint = {http://comb-opt.azaruniv.ac.ir/article_14168_650b69137e573da2101f8309df73ca34.pdf}
}