INTERNATIONAL JOURNAL OF ENGINEERING, SCIENCE AND - Volume 7, Issue 9, September 2018

Pages: 55-61

Date of Publication: 24-Sep-2018

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HARMONIC POLYNOMIAL AND HARMONIC INDEX OF MOLECULAR GRAPH

Author: Raut Nagsen Khanderao

Category: Engineering, Science and Mathematics

Abstract:

Let G be a graph with vertex set V (G) and edge set E (G). The Harmonic polynomial is defined as H(G,x) = 2 , where d(v) is the degree of vertex v in G. In this paper degree, inverse degree and Revan vertex degree based Harmonic polynomials for 2, 2, 3-trimethyl pentane, carbon nanocone C₅[2] and carbon nanotube TUAC₆ are investigated.

Keywords: Topological indices; molecular graph; inverse degree; Revan vertex degree; Harmonic polynomial.