International Journal of Engineering, Science and Mathematics
  • Year: 2018
  • Volume: 7
  • Issue: 9

Harmonic polynomial and harmonic index of molecular graph

  • Author:
  • Raut Nagsen Khanderao
  • Total Page Count: 7
  • Page Number: 55 to 61

Department of Physics, Sunderrao Solanke Mahavidyalaya, Majalgaon, Dist: Beed, (India)

*Author correspondence: Raut Nagsen Khanderao, Department of Physics, Sunderrao Solanke Mahavidyalaya, Majalgaon, Dist:Beed, (India)

Online published on 7 May, 2019.

Abstract

Let G be a graph with vertex set V (G) and edge set E (G). The Harmonic polynomial is defined as , 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