Work

On Sombor index and graph energy of some chemically important graphs

Year: 2024

Type: article

Abstract: Sombor index of a graph G = ( V ( G ) , E ( G ) ) is provided by the expression ∑ u v ∈ E ( G ) d u 2 + d v 2 , where d x is the degree of the vertex x ∈ V ( G ) . The energy of a graph is the quantity given by the total of the absolute values of its adjacency matrix’s eigenvalues. In this article, we improve the relation between the Sombor index and graph energy and derive the relation between them for unicyclic, bicyclic and tricyclic graphs, trees, triangular chain, square cactus chain and hexagonal cactus chain graphs. At last, we find the bounds of graph energy for zigzag and linear hexagonal chains.

Source: Examples and Counterexamples

DOI: 10.1016/j.exco.2024.100158

Authors: Md Selim Reja, Sk. Md. Abu Nayeem

Institution: Aliah University

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $330

Funder: University Grants Commission