RECIPROCAL VERSION OF PRODUCT DEGREE DISTANCE OF CACTUS GRAPHS

RECIPROCAL VERSION OF PRODUCT DEGREE DISTANCE OF CACTUS GRAPHS

K. Pattabiraman, M. A. Bhat

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Abstract

Thereciprocalversionofproductdegreedistanceisaproductdegreeweighted version of Harary index defined for a connected graph G as RDD∗(G) = E (dG(x).dG(y)) , {x,y}⊆V (G) where dG(x) is the degree of the vertex x and dG(x,y) is the distance from x to y in G. This article is attain the value of RDD∗ of different types of cactus such as triangular, square and hexagonal chain cactus graphs.

Keywords

Topological index, Degree, distance, cactus graph.