Computing Energy and Some Topological Indices of
Mathematics and Computer Science
Volume 1, Issue 4, November 2016, Pages: 101-107
Received: Sep. 3, 2016; Accepted: Nov. 16, 2016; Published: Dec. 20, 2016
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Authors
Mohammad Javad Nikmehr, Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
Najmeh Soleimani, Young Researchers and Elite Club, Karj Branch, Islamic Azad University, Karaj, Iran
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Abstract
For a commutative ring , the total graph of which denoted by , is a graph with all elements of R as vertices, and two distinct vertices are adjacent if and only if , where denotes the set of zero-divisors of R. In an earlier study, we computed Wiener, hyper-Wiener, reverse Wiener, Randic ́, Zagreb, and indices of zero-divisor graph. In this study, some computer programs are prepared to calculate the zero-divisors and adjacency matrix of the given graph which, apply these programs to compute the energy and first edge-Wiener, sum-connectivity, harmonic, augmented Zagreb and hyper-Zagreb indices.
Keywords
Ring, Zero-Divisor Graph, MATLAB Program, Energy, Topological Indices
To cite this article
Mohammad Javad Nikmehr, Najmeh Soleimani, Computing Energy and Some Topological Indices of , Mathematics and Computer Science. Vol. 1, No. 4, 2016, pp. 101-107. doi: 10.11648/j.mcs.20160104.15
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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