Advances and Applications in Discrete Mathematics
Volume 20, Issue 1, Pages 165 - 184
(January 2019) http://dx.doi.org/10.17654/ |
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GUTMAN INDEX OF SOME DERIVED GRAPHS
Bahadur Ali, Muhammad Imran, M. Aslam Malik, Hafiz Muhammad Afzal Siddiqui, Ahsan Bilal and Mohammad Reza Farahani
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Abstract: Topological indices are used to correlate and predict several physical and chemical properties of chemical compounds especially carbon containing compounds. Determination of the expressions for topological indices of different derived graphs of a graph is a new and interesting problem in graph theory. In this paper, these expressions are established first time for a distance based index, namely Gutman index. In these expressions, the Gutman index of the derived graphs of a graph G is given in terms of some parameters of parent graph G. |
Keywords and phrases: Wiener index, DD index, Gutman index, degree of a vertex, distance between two vertices.
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