The definitions and methods of computing the Wiener index are reviewed
. It is pointed out that the Wiener index is a useful topological inde
x in the structure-property relationship because it is a measure of th
e compactness of a molecule in terms of its structural chracteristics,
such as branching and cyclicity. A comparative study between the Wien
er index and several of the commonly used topological indices in the s
tructure-boiling point relationship revealed that the Wiener index is,
in this case, rather inferior to most indices, a result that has been
observed by other authors as well. New developments, such as an exten
sion of the Wiener index to its three-dimensional version are also men
tioned.