Relations Between Vertex–Edge Degree Based Topological Indices and Mve-Polynomial of r−Regular Simple Graph

Authors

  • Kavi B. Rasool University of Zakho
  • Payman A. Rashed
  • Ahmed M. Ali

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4698

Keywords:

Mve-polynomial, Rooted Graph, Mve−indices, Mve−polynomials, 2−ary tree

Abstract

One of the more exciting polynomials among the newly presented graph algebraic polynomials is the M−Polynomial, which is a standard method for calculating degree−based topological indices. In this paper, we define the Mve−polynomials based on vertex–edge degree and derive various vertex–edge degree based topological indices from them. Thus, for any graph, we provide some relationships between vertex–edge degree topological indices. Also, we discuss the general Mve−polynomial of r−regular simple graph. Finally, we computed the Mve−polynomial of the 2−ary tree graph.

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Published

2023-04-30

Issue

Vol. 16 No. 2: (April 2023)

Section

Nonlinear Analysis

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

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How to Cite

Relations Between Vertex–Edge Degree Based Topological Indices and Mve-Polynomial of r−Regular Simple Graph. (2023). European Journal of Pure and Applied Mathematics, 16(2), 773-783. https://doi.org/10.29020/nybg.ejpam.v16i2.4698