• WIENER INDEX AND WIENER POLYNOMIAL FOR SOME SPECIAL GRAPHS

U. MARY* IJMA, ANJU ANTONY

Abstract


The Wiener Index is a graphical invariant that has found extensive application in all branches of science. It is a distance based topological index defined as the sum of the distance between all pairs of vertices in a graph. A generating function, which we call Wiener polynomial is also defined. In this paper, Wiener index and Wiener polynomial of Wheel graph, Friendship graph and Barbell graph are obtained.


Keywords


The Wiener Index is a graphical invariant that has found extensive application in all branches of science. It is a distance based topological index defined as the sum of the distance between all pairs of vertices in a graph. A generating function, which w

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