Detour and Cluj-detour indices

Diudea, Mirchea V.; Kantona, G.; Lukovitis, Istvan; Trinajstić, Nenad (1998) Detour and Cluj-detour indices. Croatica Chemica Acta, 71 (3). pp. 459-471. ISSN 0011-1643

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Abstract

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 calculating these induces of cycles are derived. Modelings of boiling points for a set of 32 acyclic and cyclic octanes using Cluj indices and their Harary counterparts is presented. The best structure-boiling point relationships are obtained by means of the multiple linear regression 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 same two reciprocal path numbers and Harary indices derived from the edge-defined and path-defined Cluj matrices.

Item Type:	Article
Uncontrolled Keywords:	hyper-wiener index; local vertex invariants; topological indexes; matrix invariants; graphs; trees; numbers
Subjects:	NATURAL SCIENCES > Chemistry
Divisions:	Division of Physical Chemistry
Projects:	Project title Project leader Project code Project type Razvoj i primjena modela u kemiji Nenad Trinajstić 00980606 MZOS
Depositing User:	Nenad Trinajstić
Date Deposited:	10 Oct 2013 10:15
URI:	https://fulir.irb.hr:/id/eprint/762

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