THE SIGMA INDEX OF GRAPH OPERATIONS

Authors : Akbar JAHANBANI, Süleyman EDİZ

Pages : 155-162

View : 27 | Download : 9

Publication Date : 2019-03-01

Article Type : Research Paper

Abstract :Let G be a graph of order n with vertices labeled as v1, v2, …, vn. Let di be the degree of the vertex vi, for i = 1, 2, …, n. The sigma index, which have been defined very recently, of G is insert ignore into journalissuearticles values(G); = ΣvivjEinsert ignore into journalissuearticles values(G);insert ignore into journalissuearticles values(di  dj);2. In this paper, the sigma index of the Cartesian product, composition, join and disjunction of graphs are computed. We apply some of our results to compute the sigma index of some special graph classes.
Keywords : Graph operations, sigma index, zagreb index

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