Table 1

The most commonly used topological indices.


Expression for calculation


Wiener index

Di,j represents off-diagonal elements of matrix which stands for the shortest distance in term on number of bonds between atom i and j

Valence connectivity index

vi and vj 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 dsi is a distance sum

Information-theoretic index

modified Shannon's equation where n is the number of different sets of elements, Ni is the number of elements in the i-th 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 ei of the row matrix v [A+D] gives Shultz index

Medić-Šarić et al. Nutrition Journal 2009 8:33   doi:10.1186/1475-2891-8-33

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