Sadhana and PI polynomials and their indices of an infinite class of the titania nanotubes TiO2(m, n)

Li Yan, Yingfang Li, Mohammad Reza Farahani, Muhammad Imran

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Let G = (V, E) be a simple connected molecular graph in chemical graph theory, where the vertex set and edge set of G denoted by V (G) and E(G) respectively. Two edges e = uv and f = xy of G are called co-distant (briefly: ecof ) if they obey the topologically parallel edges relation. The Sadhana polynomial of a graph G Sd(G,x) for counting qoc strips in G was defined by Ashrafi et al. as Sd(G,x) =σc m(G,c)xE(G)-c and the Sadhana index of G is Sd(G) =σc m(G,c)(E)G-c), where m(G,c) being the number of qoc strips of length c. In this paper, we compute the Sadhana Sd(G,x) and Pi II G(x)=σc m(G,c) · c ·xE(G)c.

Original languageEnglish
Pages (from-to)8772-8775
Number of pages4
JournalJournal of Computational and Theoretical Nanoscience
Volume13
Issue number11
DOIs
Publication statusPublished - 2016

Keywords

  • Molecular graph
  • Omega polynomial
  • Qoc strip
  • Sadhana index
  • Sadhana polynomial
  • Titania nanotubes

ASJC Scopus subject areas

  • Chemistry(all)
  • Materials Science(all)
  • Condensed Matter Physics
  • Computational Mathematics
  • Electrical and Electronic Engineering

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