IJPAM: Volume 111, No. 3 (2016)

Title

FOURTH GEOMETRIC ARITHMETIC INDEX
OF $NA^{n}_{m}$ NANOTUBE

Authors

Mehdi Rezaei$^1$, Abdul Qudair Baig$^2$,
Wasim Sajjad$^3$, Mohammad Reza Farahani$^4$
$^1$Department of Mathematics
Buein Zahra Technical University
Buein Zahra, Qazvin, IRAN
$^{2,3}$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 molecular graph. The length of a shortest path between two vertices of $G$ is called distance. In a connected graph $G$, the $\emph{eccentricity}$ $\epsilon_{v}$ of vertex $v$ is the distance between $v$ and a vertex farthest from $v$ in $G$. In this paper, we consider $NA^{n}_{m}$ nanotube and compute the Fourth Geometric Arithmetic Index.

History

Received: October 14, 2016
Revised: November 27, 2016
Published: December 19, 2016

AMS Classification, Key Words

AMS Subject Classification: 05C12, 05C90
Key Words and Phrases: molecular graph, fourth geometric arithmetic index, $NA^{n}_{m}$ nanotube

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How to Cite?

DOI: 10.12732/ijpam.v111i3.10 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: 2016
Volume: 111
Issue: 3
Pages: 467 - 477


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