Work

On Sombor Energy of the Nilpotent Graph of the Ring of Integers Modulo ε

Year: 2025

Type: article

Abstract: In chemical graph theory, chemical compounds are represented as graphs where atoms are represented as vertices, and the bonds connecting the atoms are represented as edges. In 2021, Gowtham and Swamy discovered another type of graph energy, called the Sombor energy. This discovery was motivated by Gutman's introduction of the Sombor index in the same year. In the field of abstract algebra, rings can also be represented as graphs. In this article, we aim to explore the Sombor energy of some nilpotent graphs of rings, particularly the ring of integers modulo ε.

Source: Journal of the Indonesian Mathematical Society

DOI: 10.22342/jims.v31i3.1856

Authors: Lalu Riski Wirendra Putra, Jimboy R. Albaracin, I Gede Adhitya Wisnu Wardhana

Institutions: University of Mataram, University of the Philippines Cebu

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: University of the Philippines, Universitas Mataram

OpenAlex ID: W4413348422

FWCI: 1.865

Cites:

Cited by: 1

Related to: 10