On the topological matrix and topological indices

İngilizce (OpenAlex)

The topological matrix M of a graph G are indexed by V(G). If i,j∈L then the (i,j)−entry of M(G) is 1 and the (i,j)−entry of M(G) 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 M(G) are obtained.The Topological index TI(G) of a graph G is qualified by TI=|A+D|. Some relations are found for basic mathematical operations of TI(G) and some bounds are reported for some topological indices in this paper.