DETOUR AND CLUJ-DETOUR INDEXES

Recently proposed Cluj matrices: the C1uj-distance matrix and the Cluj -detour matrix are reviewed. New Harary-type indices on the detour and Cluj-detour matrices are defined. Additionally, the formulae for calc ulating these induces of cycles are derived. Modelings of boiling poin ts for a set of 32 acyclic and cyclic octanes using Cluj indices and t heir Harary counterparts is presented. The best structure-boiling poin t relationships are obtained by means of the multiple linear regressio n using either combinations of two reciprocal paths numbers (1/p(2), 1 /p(3)) and detour and hyper-detour indices or a combination of the sam e two reciprocal path numbers and Harary indices derived from the edge -defined and path-defined Cluj matrices.