Computing the eccentric-distance sum for graph operations |
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Authors: | Mahdieh Azari Ali Iranmanesh |
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Institution: | Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P. O. Box: 14115-137, Tehran, Iran |
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Abstract: | In this paper, we present explicit formulas for computing the eccentric-distance sum of the most important graph operations such as the Cartesian product, join, composition, disjunction, symmetric difference, cluster and corona product of graphs. Also, we apply our results to compute this eccentricity-related invariant for some important classes of molecular graphs and nano-structures by specializing components of these graph operations. |
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Keywords: | Distance Eccentricity Graph operations |
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