A computer program for calculating the graph-theoretical detour matrix is introduced, which uses thetopological symmetry of a graph to minimize path-tracing. The high performance of the program allowsone to treat graphs of the complexity of fullerenes (e.g., C
60). A more logical definition of the detourmatrix and the detour
index than is presently in use is proposed. Index
is probed as a descriptor forboiling points of acyclic and cyclic alkanes. The detour
index in combination with the
Wiener index W ismore useful than Hosoya's
Z index for regression of the boiling points of a large sample of compoundscontaining all acyclic and cyclic alkanes with known boiling points from methane up to polycyclic octanes.