Journal of Prime Research in Mathematics

# Wiener index of the tensor product of cycles

K. Pattabiraman
Department of Mathematics, Faculty of Engineering and Technology, Annamalai
University, Annamalainagar 608 002, India.

$$^{1}$$Corresponding Author: pramank@gmail.com

### Abstract

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, $$W(G)=\frac{1}{2}\sum_{u,v\in V(G)}d(u,v)$$. In this paper, we obtain the Wiener index of the tensor product of two cycles.

#### Keywords:

Tensor product, Wiener index.