New results on \(\mathscr{P}\)-energy of join of graphs

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DOI:

https://doi.org/10.26637/MJM0804/0130

Abstract

The \(\mathscr{P}\)-energy of a graph \(G\) with a vertex partition \(\mathscr{P}\) is the sum of the absolute values of the eigenvalues of its \(\mathscr{P}\)-matrix . In this article, we discuss the \(\mathscr{P}\)-energy of the join of graphs in the special case when the component graphs are either regular or complete bipartite.

Keywords:

Graph energy, partition energy, coronal of a graph, join of graphs, \(\mathscr{P}\)-energy

Mathematics Subject Classification:

Mathematics
  • Prajakta Bharat Joshi Department of Mathematics, CHRIST(Deemed to be University), Bengaluru-560029, India.
  • Mayamma Joseph Department of Mathematics, CHRIST(Deemed to be University), Bengaluru-560029, India.
  • Pages: 2092-2096
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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Published

01-10-2020

How to Cite

Prajakta Bharat Joshi, and Mayamma Joseph. “New Results on \(\mathscr{P}\)-Energy of Join of Graphs”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 2092-6, doi:10.26637/MJM0804/0130.

Issue

Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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Articles

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Copyright (c) 2020 MJM

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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