A unified approach to the Wiener topological index and its various rec
ent modifications, is presented. Among these modifications particular
attention is paid to the Kirchhoff, Harary, Szeged, Cluj and Schultz i
ndices, as well as their numerous variants and generalizations. Relati
ons between these indices are established and methods for their comput
ation described. Correlation of these topological indices with physico
-chemical properties of molecules, as well as their mutual correlation
are examined.