Preprint Article Version 1 This version is not peer-reviewed

Topological Indices of Carbon Graphite and Crystal Cubic Carbon Structures via M Polynomials

Version 1 : Received: 12 June 2018 / Approved: 13 June 2018 / Online: 13 June 2018 (10:58:44 CEST)

How to cite: Gao, W.; Nazeer, W.; Yousaf, A.; Kang, S.M. Topological Indices of Carbon Graphite and Crystal Cubic Carbon Structures via M Polynomials. Preprints 2018, 2018060210 (doi: 10.20944/preprints201806.0210.v1). Gao, W.; Nazeer, W.; Yousaf, A.; Kang, S.M. Topological Indices of Carbon Graphite and Crystal Cubic Carbon Structures via M Polynomials. Preprints 2018, 2018060210 (doi: 10.20944/preprints201806.0210.v1).

Abstract

Graph theory plays a crucial role in modeling and designing of chemical structure or chemical network. Chemical Graph theory helps to understand the molecular structure of molecular graph. The molecular graph consists of atoms as vertices and bonds as edges. Topological indices capture symmetry of molecular structures and give it a mathematical language to predict properties such as boiling points, viscosity, the radius of gyrations etc. In this article, we study the chemical graph of carbon Crystal structure of graphite and cubic carbon and compute several degree-based topological indices. Firstly we compute M-Polynomials of these structures and then from these M-polynomials we recover nine degree-based topological indices.

Subject Areas

carbon graphite; crystal cubic carbon; M-polynomial; Zagreb index; Randic index

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