Advances in Mathematical Chemistry and Applications

Volume 1

by

Subhash C. Basak, Guillermo Restrepo, José L. Villaveces

DOI: 10.2174/97816080592871140101
eISBN: 978-1-60805-928-7, 2014
ISBN: 978-1-60805-929-4
ISSN: 2352-7668 (Print)



Indexed in: Book Citation Index, Science Edition, EBSCO.

“Advances in Mathematical Chemistry and Applications, Volume 1” highlights the emerging discipline of mathematical chemistry, or, more...[view complete introduction]
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The Four Connectivity Matrices, Their Indices, Polynomials and Spectra

- Pp. 76-91 (16)

Bono Lučić, Ivan Sović and Nenad Trinajstić

Abstract

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 Živković.

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