Degree Based Topological Indices of Graphene Using $M_{hr}$- Polynomial


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Authors

  • S. R. Ramachandra Department of Mathematics, Maharanis Science College for Women, Mysore, Karnataka, India

Keywords:

Topological index, $\psi_k$-Polynomial, $M_{hr}$- Polynomial

Abstract

Graphene is a two-dimensional material consisting of a single layer of carbon atom arranged in a honeycomb structure. Graphine exhibits important intrinsic properties such as high strength, excellent conductor of heat and electricity. In this research, $M_{hr}$-polynomial, when of HDR indices for the line graph of Graphene is established, the degree-based topological indices, such as first, second HDR indices are obtained. Accordingly, by using the derivative of $M_{hr}$-polynomial of Graphene the first, second HDR hyper-Zagreb indices, and HDR forgotten topological index of Graphene, are found.

 

 

Author Biography

S. R. Ramachandra, Department of Mathematics, Maharanis Science College for Women, Mysore, Karnataka, India

 

 

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Published

12-02-2023

How to Cite

S. R. Ramachandra. (2023). Degree Based Topological Indices of Graphene Using $M_{hr}$- Polynomial. International Journal of Mathematics And Its Applications, 11(1), 49–63. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/940

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Section

Research Article