S-Index of Different Graph Operations

S. Nagarajan, G. Kayalvizhi, G. Priyadharsini
2021 Asian Research Journal of Mathematics  
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.
doi:10.9734/arjom/2021/v17i1230347 fatcat:6v56blli2rf5flfzfcdejgkvaa