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Open Access Research Article

Euler Sombor energy of a graph

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pp. 1–13Online FirstMay 2026DOI: 10.47974/JDMSC-2601 Crossmark XML
Received:
01 Apr 2025
Published Online:
12 May 2026
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2601
Pages:
1–13

Abstract

This paper defines and calculates the Euler Sombor energy of a graph by summing the absolute values of the eigenvalues derived from its Euler Sombor matrix. This matrix, constructed based on vertex degrees, is linked to the Euler Sombor index. We establish mathematical properties for the Euler Sombor energy. Furthermore, we obtain bounds for this energy measure in graphs. Our analysis connects this new energy measure to other graph invariants, providing a comprehensive understanding of its characteristics and implications within the context of graph theory.

Keywords

Subject Classifications

05C5005C0905C90

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