Balaban index

Balaban Index The Balaban index, J, has been introduced as the average-distance sum defined as the sum of the squares of the reciprocal nonzero distances in D (6,7]  

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Weiner index Randic indices Kier and Hall indices Inforanation content Connectivity index Balaban index... 

Siwek and Sliwiok applied connectivity, Wiener index, and Balaban index to evaluate hydrophobicities (log fe(v) of selected isomer ketones, by using an RP-HPLC technique. Topological indices do not correlate well with log kdf, for a large group of compounds " ... 

Another generalization of the Balaban index J, so as to account for heteroatoms in the molecule, is the - Barysz index calculated on the - Barysz distance matrix. 

JJ indices derived from the - Wiener matrix were proposed as a generalization of the Balaban index in analogy with the Kier-Hall -> connectivity indices. 

The 3D-Balaban index was derived from the -> geometry matrix G as ... 

From the geometry matrix, the usual -> graph invariants can be calculated such as -t characteristic polynomial, -> eigenvalue-based descriptors, -> path counts, - ID numbers, -> 3D-Balaban index, -> 3D-Schultz index and so forth [Randic, 1988b Nikolic et al, 1991]. It is noteworthy that all these indices are sensitive to molecular geometry. Moreover, the geometry matrix is used for the calculation of size descriptors and - 3D-MoRSE descriptors. 

D-Balaban index - Balaban distance connectivity indices... 

Mekenyan, O., Bonchev, D., Sabljic, A. and Trinajstic, N. (1987). Applications of Topological Indices to QSAR. The Use of the Balaban Index and the Electropy Index for Correlations with Toxicity of Ethers on Mice. Acta Pharm.Jugosl.,37,75-86. 

Other Balaban-like indices are Balaban-like information indices, Barysz index, reversed Balaban index, —> Harary-Balaban index, —> Balaban-like resistance index, variable Balaban index, —> index, —> quotient Balaban index of the first kind, and quotient Balaban... 

From the Harary matrix, a —> Balahan-like index, called Harary-Balaban index [Nikolic, PlavSic et al., 2001 ] or Harary-coimectivity index [Randic and Pompe, 2001b] was also proposed as... 

Moreover, the complement Balaban index J [Nikolic, Plavsic et al, 2001] or reversed Balaban index 1/J [Randic and Pompe, 2001b] was derived as a Balaban-like index as... 

From the matrix D/DC and the matrix DC/D, two Balaban-like indices were derived and called quotient Balaban index of the first kind and quotient Balaban index of the second kind,... 

Hansch-Fujita hydrophobic substituent constants Hansch linear model —> Hansch analysis Hansch nonlinear model —> Hansch analysis Hansch parabolic model —> Hansch analysis Harary-Balaban index —> distance matrix... 

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