EXACT FORMULAE OF GENERAL SUM-CONNECTIVITY INDEX FOR SOME GRAPH OPERATIONS

Let G be a graph with vertex set V (G) and edge set E(G). The degree of a vertex a is an element of V (G) is denoted by d(G)(a). The general sum-connectivity index of G is defined as chi(alpha)(G) = Sigma(ab is an element of E(G)) (d(G)(a) + d(G)(b))(alpha), where alpha is a real number. In this paper, we compute exact formulae for general sum-connectivity index of several graph operations. These operations include tensor product, union of graphs, splices and links of graphs and Hajos construction of graphs. Moreover, we also compute exact formulae for general sum-connectivity index of some graph operations for positive integral values of alpha. These operations include cartesian product, strong product, composition, join, disjunction and symmetric difference of graphs.