Degree Sum Energy in Context of Some Graph Operations on Regular Graph

Mitesh J. Patel; K. S. Baldaniya; Ashika Panicker

doi:https://doi.org/10.14445/22315373/IJMTT-V69I3P503

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 69 | Issue 3 | Year 2023 | Article Id. IJMTT-V69I3P503 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I3P503

Degree Sum Energy in Context of Some Graph Operations on Regular Graph

Mitesh J. Patel, K. S. Baldaniya, Ashika Panicker

Received	Revised	Accepted	Published
02 Feb 2023	03 Mar 2023	16 Mar 2023	27 Mar 2023

Abstract

Let G be a graph with order p and size q. The degree sum energy of a graph G is defined as the sum of the absolute values of the eigenvalues of the degree sum matrix of G. In this paper, we obtain the degree sum energy of m−splitting graph of a regular graph and central graph of regular graph. We define a new operation m−semishadow graph and obtain degree sum energy of m−semishadow graph of a regular graph.

Keywords

Degree sum energy, m-Splitting graph, m-Semishadow graph, Central graph, Regular graph.

References

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Citation :

Mitesh J. Patel, K. S. Baldaniya, Ashika Panicker, "Degree Sum Energy in Context of Some Graph Operations on Regular Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 3, pp. 16-25, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I3P503