ScholarWorks@성균관대학교

초록

The multiplicative Somb or index of a graph G = (V(G), E(G)) introduced in 2021 is defined as Pi so(G) =lJ root du 2 + dv 2 , where du indicates the degree uv is an element of E(G) of u is an element of V(G). In this paper, some bounds of the multiplicative Somb or index are presented using graph parameters. In particular, both the maximal and minimal graphs are determined when a chromatic number is given among graphs of fixed order. Moreover, the bounds of the index for the cartesian, tensor, and strong product of two graphs are represented with the index of each graph.

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