Zhou, Bo; Trinajstić, Nenad
(2010)
Mathematical Properties of Molecular Descriptors Based on Distances.
Croatica Chemica Acta, 83
(2).
pp. 227242.
ISSN 00111643
Abstract
A survey of a number of molecular descriptors based on distance matrices and distance eigenvalues is given. The following distance matrices are considered: the standard distance matrix, the reverse distance matrix, the complementary distance matrix, the resistancedistance matrix, the detour matrix, the reciprocal distance matrix, the reciprocal reverse Wiener matrix and the reciprocal complementary distance matrix. Mathematical properties are discussed for the following molecular descriptors with a special emphasis on their upper and lower bounds: the reverse Wiener index, the Harary index, the reciprocal reverse Wiener index, the reciprocal complementary Wiener index, the Kirchhoff index, the detour index, the Balaban index, the reciprocal Balaban index, the reverse Balaban index and the largest eigenvalues of distance matrices. This set of molecular descriptors found considerable use in QSPR and QSAR.
Item Type: 
Article

Uncontrolled Keywords: 
Distance matrices; Wienerlike indices; distance eigenvalues; Balabanlike indices; upper and lower bounds; QSPR; QSAR; reverse wiener indexes; resistancedistance; topological indexes; kirchhoff index; largest eigenvalue; detour matrix; harary index; graphtheory; laplacian eigenvalues; vertex invariants 
Subjects: 
NATURAL SCIENCES > Chemistry 
Divisions: 
Division of Physical Chemistry 
Projects: 
Project title  Project leader  Project code  Project type 

Razvoj metoda za modeliranje svojstava bioaktivnih molekula i proteina  [184293] Bono Lučić  09817704952919  MZOS 

Depositing User: 
Nenad Trinajstić

Date Deposited: 
09 Oct 2013 09:03 
Last Modified: 
06 Feb 2014 12:46 
URI: 
http://fulir.irb.hr/id/eprint/738 
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738
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