On the topological matrix and topological indices

Abstract

The topological matrix of a graph are indexed by . If then the of is 1 and the of is 0 for otherwise. In this paper, an upper bound for this topological matrix is found and the weighted topological matrix is defined. Also, some inequalities for the topological energy and the weighted Laplacian topological energy and of are obtained. The Topological index of a graph is qualified by . Some relations are found for basic mathematical operations of and some bounds are reported for some topological indices in this paper.

Keywords

• topological matrix
• topological indices
• bounds