On a novel connectivity index

Degree-Based Topological Indices

“…154 They noticed that in the definition of Randić's branching index, 16 Equation (1), there is no a priori reason for using the product d u ×d v of vertex degrees, and this term may be replaced by the sum d u + d v . If so, then instead of Equation (1), one gets…”

“…A number of properties of the sum-connectivity index have been determined, 125,[154][155][156][157][158][159] which again are bounds and characterization of graphs of various types, extremal with respect to SCI; details are found in the review. 160 By comparing the product-and sumconnectivity indices, 10,11,161,162 it was found that these have remarkably similar correlation properties.…”

Connectivity Banhatti indices for certain families of Benzenoid Systems

“…Motivated by Randic's definition of the product connectivity index, the sum connectivity index was initiated by Zhou and Trinajstic [6][7] , which is defined…”

About the Randić Connectivity, Modify Randić Connectivity and Sum-connectivity Indices of Titania Nanotubes TiO2(m,n)

“…Another connectivity indices is the Sum-Connectivity Index that was introduced by Zhou and Trinajsti} in 2008. 5,6 The sum-connectivity index X(G) is defined as the sum over all edges of the graph of the terms…”