Volume 1, Issue 4, November 2016, Page: 101-107
Computing Energy and Some Topological Indices of
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
Received: Sep. 3, 2016;       Accepted: Nov. 16, 2016;       Published: Dec. 20, 2016
DOI: 10.11648/j.mcs.20160104.15      View  3544      Downloads  153
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.
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
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