IJPAM: Volume 115, No. 2 (2017)

Title

THE EDGE VERSION OF RANDIĆ, ZAGREB, ATOM
BOND CONNECTIVITY AND GEOMETRIC-ARITHMETIC
INDICES OF $HAC_5C_6C_7[P,Q]$ NANOTUBE

Authors

Yingying Gao$^1$, Wasim Sajjad$^2$,
Abdul Qudair Baig$^3$, Mohammad Reza Farahani$^4$
$^1$College of Pharmacy and Biological Engineering
Chengdu University
Chengdu, 610106, P.R. CHINA
$^2$Department of Mathematics
University of Sargodha
Mandi Bahauddin Campus
Mandi Bahauddin, PAKISTAN
$^3$Department of Mathematics
COMSATS Institute of Information Technology
Attock Campus, PAKISTAN
$^4$Department of Applied Mathematics
Iran University of Science and Technology (IUST)
Narmak, Tehran, 16844, IRAN

Abstract

Let $G$ be a simple molecular graph with vertex set $V(G)$ and edge set $E(G)$ respectively. The degree $deg(v)$ of the vertex $v\in V(G)$ is the number of vertices adjacent with vertex $v$. A graph can be recognized by a numeric number, a polynomial, a sequence of numbers or a matrix. A topological index is a numeric quantity associated with a graph which characterize the topology of graph and is invariant under graph automorphism. Topological indices play important role in mathematical chemistry especially in the quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) studies.

In this paper we consider the line graph of $HAC_5C_6C_7[p, q]$ nanotube for $p\geq 1$ and $q=2$ and we compute the edge version of Randić, Zagreb, Atom Bond Connectivity its fourth version and Geometric-arithmetic index with its fifth version.

History

Received: March 30, 2017
Revised: June 29, 2017
Published: July 14, 2017

AMS Classification, Key Words

AMS Subject Classification: 05C12, 05C90
Key Words and Phrases: general Randić index, Zagreb index, atom-bond connectivity index, geometric-arithmetic index, nanotubes

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How to Cite?

DOI: 10.12732/ijpam.v115i2.17 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 2
Pages: 405 - 418


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