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Vertex degree-based topological indices of penta-chains using M-polynomial

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Abstract

Chemical compounds that comprise of atoms and bonds are conceptualized as graphs shaped by edges and vertices with the help of graph theory and topological indices. The purpose of topological indices is to serve as a tool that can relate the compound’s chemical structure with its physical and chemical properties. We have chosen the M-polynomial technique to compute the indices. In this paper, we have derived the M-polynomial for straight chain pentagons, alternate chain pentagons and double-row penta-chains and proved the same with mathematical induction. We have further obtained various vertex degree-based topological indices using the M-polynomial.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Dr. SPM International Institute of Information Technology, Naya Raipur, Atal Nagar, India

    Satyanarayana Vollala

  2. Department of Computer Science and Engineering, The Ohio State University, Columbus, USA

    Indrajeet Saravanan

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  1. Satyanarayana Vollala
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  2. Indrajeet Saravanan
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Correspondence to Satyanarayana Vollala.

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Vollala, S., Saravanan, I. Vertex degree-based topological indices of penta-chains using M-polynomial. Int J Adv Eng Sci Appl Math 11, 53–67 (2019). https://doi.org/10.1007/s12572-019-00245-6

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