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


Keywords:
Topological index, $\psi_k$-Polynomial, $M_{hr}$- PolynomialAbstract
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.
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