The Four Connectivity Matrices, Their Indices, Polynomials and Spectra
- Authors: Bono Lučić, Ivan Sović, Nenad Trinajstić3
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View Affiliations Hide Affiliations3 Ruđer Boković Institute, Bijenička c. 54, HR 10000 Zagreb, Croatia
- Source: Advances in Mathematical Chemistry and Applications: Volume 1 Revised Edition , pp 76-91
- Publication Date: October 2015
- Language: English
The Four Connectivity Matrices, Their Indices, Polynomials and Spectra, Page 1 of 1
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The four connectivity matrices are presented: the vertex-product-connectivity matrix, the edge-product-connectivity matrix, the vertex-sum-connectivity matrix and the edge-sum-connectivity matrix. The half-sum of their matrix elements are the corresponding connectivity indices: the vertex-product-connectivity index, the edgeproduct- connectivity index, vertex-sum-connectivity index and the edge-sumconnectivity index. The suitability of these four forms of connectivity indices in developing structure-property relationships is illustrated on four sets of alkanes for 14 experimental physico-chemical properties. Their polynomials and spectra are also given. The method used for constructing polynomials of the connectivity matrices considered is the Le Verrier-Fadeev-Frame method, that has been modified by Balasubramanian and ivković.
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