Journal of Prime Research in Mathematics

Exact wiener indices of the strong product of graphs

K. Pattabiraman
Department of Mathematics, Faculty of Engineering and Technology, Annamalai University, Annamalainagar, India.

\(^{1}\)Corresponding Author:


The Wiener index, denoted by \(W(G)\), of a connected graph \(G\) is the sum of all pairwise distances of vertices of the graph, that is, \(W(G) = \frac{1}{2} \sum_{u,v∈V (G)}d(u, v)\). In this paper, we obtain the Wiener index of the strong product of a path and a cycle and strong product of two cycles.


Strong product, Wiener index