Open AccessS-Index of Different Graph Operations
Author(s) -
S. Nagarajan,
G. Kayalvizhi,
G. Priyadharsini
Publication year - 2021
Publication title -
asian research journal of mathematics
Language(s) - English
Resource type - Journals
ISSN - 2456-477X
DOI - 10.9734/arjom/2021/v17i1230347
Subject(s) - cartesian product , join (topology) , subdivision , graph , vertex (graph theory) , combinatorics , mathematics , lattice graph , index (typography) , tensor product , product (mathematics) , discrete mathematics , computer science , line graph , pure mathematics , geography , geometry , voltage graph , archaeology , world wide web
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.