S-Index of Different Graph Operations
S. Nagarajan *
Kongu Arts and Science College , Erode, India.
G. Kayalvizhi
Kongu Arts and Science College , Erode, India.
G. Priyadharsini
Kongu Arts and Science College , Erode, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we introduced new index from the Zagreb index family, named as -index is defined as the sum of degree five of all the vertices of a graph. We derive the -index of some different graph operations such that Join, Cartesian product, Composition, Corona product, Tensor Product, Strong product, Disjunction, Symmetric difference, Corona join product, Subdivision vertex join are obtained.
Keywords: Zagreb indices, f-index, s-index, graph operations