The Theta polynomial Θ(G,x) and the Theta index Θ(G) of molecular graph Polycyclic Aromatic Hydrocarbons PAHk

Authors

  • Wei Gao School of Information Science and Technology, Yunnan Normal University, Kunming 650500
  • MOHAMMAD REZA FARAHANI MrFarahani88@Gmail.com Department of Applied Mathematics of Iran University of Science and Technology (IUST), Narmak, Tehran 16844

DOI:

https://doi.org/10.24297/jac.v12i1.847

Keywords:

Molecular graph, Polycyclic Aromatic Hydrocarbons, Omega polynomial, Theta polynomial, Theta index.

Abstract

The omega polynomial Ω(G,x), for counting qoc strips in molecular graph G was defined by Diudea as  with m(G,c), being the number of qoc strips of length c. The Theta polynomial Θ(G,x) and the Theta index Θ(G) of a molecular graph G were defined as Θ(G,x)= and Θ(G)=, respectively.

In this paper, we compute the Theta polynomial Θ(G,x) and the Theta index Θ(G) of molecular graph Polycyclic Aromatic Hydrocarbons PAHk, for all positive integer number k. 

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Author Biography

MOHAMMAD REZA FARAHANI, MrFarahani88@Gmail.com Department of Applied Mathematics of Iran University of Science and Technology (IUST), Narmak, Tehran 16844

Department of Applied Mathematics

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Published

2015-11-11

How to Cite

Gao, W., & FARAHANI, M. R. (2015). The Theta polynomial Θ(G,x) and the Theta index Θ(G) of molecular graph Polycyclic Aromatic Hydrocarbons PAHk. JOURNAL OF ADVANCES IN CHEMISTRY, 12(1), 3934–3939. https://doi.org/10.24297/jac.v12i1.847

Issue

Vol. 12 No. 1 (2015)

Section

Articles

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