Table 1 

The most commonly used topological indices. 

Index 
Expression for calculation 
Observation 


Wiener index 
D_{i,j }represents offdiagonal elements of matrix which stands for the shortest distance in term on number of bonds between atom i and j 

Valence connectivity index 
v_{i }and v_{j }are weights (valence delta values) of vertices i and j making up edge in vertex weighted graph G 

Balaban index 
the average distance sum connectivity; where E is the number of edges, μ is cyclomatic number of G and ds_{i }is a distance sum 

Informationtheoretic index 
modified Shannon's equation where n is the number of different sets of elements, N_{i }is the number of elements in the ith set of elements and the sum is over all sets of elements 

Shultz index 
molecular topological index (MTI) is based on adjacency matrix (A), the distance matrix (D) and the valency matrix (v); the of elements e_{i }of the row matrix v [A+D] gives Shultz index 



MedićŠarić et al. Nutrition Journal 2009 8:33 doi:10.1186/14752891833 