Journal of Prime Research in Mathematics

# Reciprocal product degree distance of strong product of graphs

K. Pattabiraman
Department of Mathematics, Annamalai University, Annamalainagar 608 002, India.
A. Arivalagan
Department of Mathematics Sethupathy Govt. Arts College, Ramanathapuram 623 502 India.
V.S.A. Subramanian
Department of Mathematics, APSA College, Thirupattur India.

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

### Abstract

In this paper, the exact formula for the reciprocal product degree distance of strong product of a connected graph and the complete multipartite graph with partite sets of sizes $$m_0, m_1, . . . , m_{r−1}$$ is obtained. Using the results obtained here, the formula for the reciprocal degree distance of the closed fence graph is computed.

#### Keywords:

Degree distance,reciprocal product degree distance, strong product.