Computing omega, sadhana and PI polynomials of benzoid carbon nanotubes

A. Q. Baig, Muhammad Imran, Haidar Ali

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

Abstract

Counting polynomials are those polynomials having at exponent the extent of a property partition and coefficients the multiplicity/occurrence of the corresponding partition. These polynomials were proposed on the ground of quasi-orthogonal cuts edge strips in polycyclic graphs. These counting polynomials are useful in the topological description of bipartite structures as well as in counting some single number descriptors, i.e. topological indices. These polynomials count equidistant and non-equidistant edges in graphs.In this paper, Omega, Sadhana and PI polynomials are computed for Benzoid nanotubes for the first time. The analytical closed formulas of these polynomials for the circumcoronene series of benzenoid HK, hexagonal parallelogram p(m,n)and zigzag-edge coronoid fused with starphnene ZCS(k,l,m)nanotubes are derived in this paper

Original languageEnglish
Pages (from-to)248-255
Number of pages8
JournalOptoelectronics and Advanced Materials, Rapid Communications
Volume9
Issue number1-2
Publication statusPublished - 2015
Externally publishedYes

Keywords

  • Counting polynomial
  • H nanotube
  • Omega polynomial
  • P(m,n) nanotube
  • PI polynomial
  • Sadhana polynomial
  • ZCS(KLM)nanotube

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

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