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Þ-energy of generalized Petersen graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 1، دوره 7، شماره 1، شهریور 2022، صفحه 1-16 اصل مقاله (453.21 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2021.27102.1197 | ||
| نویسندگان | ||
| Prajakta Bharat Joshi* 1؛ Mayamma Joseph2 | ||
| 1Research scholar, Department of mathematics, CHRIST (Deemed to be University), Bangalore, India | ||
| 2Department of mathematics, Faculty, CHRIST (Deemed to be University), Bangalore. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Graph energy؛ partition matrix؛ Þ-matrix؛ vertex partitions | ||
| مراجع | ||
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