Sum-Balaban index and its properties

Abstract

The sum-Balaban index is defined as SJ(G) = m m−n+2 1 √ w(u)+w(v) , where the sum is taken over all edges of a connected graph G, n and m are the cardinalities of the vertex and the edge set of G, respectively, and w(u) (resp. w(v)) denotes the sum of distances from u (resp. v) to all the other vertices of G. In the paper known results on this recently introduced topological index are summarized.

Topological indices computing on random chain structures

“…In addition, the combination of these indices can predict the characteristics of most compounds. As their improved topological index, the above six types of variables are defined for the needs of more practical applications in the field of chemistry, with more potential application background, and for the same application, the modified topological indices work as complementary relationship with the original indices which fit the different chemical data sets (see Knor et al [11] and Zhao et al [12]).…”