Work

The General Symmetric Degree and General Symmetric Degree Adjacency Polynomial of a Graph and Its Energy

Year: 2024

Type: article

Abstract: The spectral graph theory is concerned with the relationship between the spectra of specific matrices associated with a graph and the structural properties of that graph. This paper introduces a general symmetric degree adjacency of a graph G, general symmetric degree of a graph G, and complete weighted graph of a graph. Here we explore its characteristic polynomial using Sachs theorem. We also investigate the bounds for index and energy of general symmetric degree adjacency of a graph. We give two algorithms, first one to find general symmetric degree adjacency of a graph G and second one to find general symmetric degree of a graph G.

Source: Advances and Applications in Discrete Mathematics

DOI: 10.17654/0974165824041

Authors: Jyoti Macha, Sumedha S. Shinde, Prema Sunkad

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4403469377

FWCI:

Cites:

Cited by:

Related to: 10