Algebraic Connections between Topological Indices

A relation has been recently established between the Wiener number W and an immanant of the Laplacian matrix of the molecular graph [Chan, O.; Lam, T. K.; Merris, R. J. Chem. Inf. Comput. Sci. 1997, 37, 762−765]. On the basis of this result we now show that there exist algebraic connections between...

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Published inJournal of Chemical Information and Computer Sciences Vol. 38; no. 1; pp. 62 - 65
Main Authors Chan, Onn, Gutman, Ivan, Lam, Tao-Kai, Merris, Russell
Format Journal Article
LanguageEnglish
Published American Chemical Society 19.01.1998
Subjects
Chemical structures
Computerized information storage and retrieval
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Abstract A relation has been recently established between the Wiener number W and an immanant of the Laplacian matrix of the molecular graph [Chan, O.; Lam, T. K.; Merris, R. J. Chem. Inf. Comput. Sci. 1997, 37, 762−765]. On the basis of this result we now show that there exist algebraic connections between W and certain molecular-graph-based structure descriptors which, until now, were believed not to be related to W, namely the Hosoya index and quantities derived from it and the simple topological index of Narumi.
AbstractList A relation has been recently established between the Wiener number W and an immanant of the Laplacian matrix of the molecular graph [Chan, O.; Lam, T. K.; Merris, R. J. Chem. Inf. Comput. Sci. 1997, 37, 762−765]. On the basis of this result we now show that there exist algebraic connections between W and certain molecular-graph-based structure descriptors which, until now, were believed not to be related to W, namely the Hosoya index and quantities derived from it and the simple topological index of Narumi.
Author Chan, Onn
Lam, Tao-Kai
Merris, Russell
Gutman, Ivan
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Title Algebraic Connections between Topological Indices
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