Journal ArticleDOI
An algorithm for the calculation of the hyper-Wiener index of benzenoid hydrocarbons
TLDR
The algorithm proposed enables a relatively easy calculation of WW, finding expressions for WW of homologous series of benzenoid hydrocarbons, and envisaging the relations between WW and molecular structure.About:
This article is published in Computational Biology and Chemistry.The article was published on 2000-03-01. It has received 58 citations till now. The article focuses on the topics: Wiener index & Topological index.read more
Citations
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Wiener Index of Hexagonal Systems
TL;DR: In this paper, the authors present the results known for W of the HS: method for computing W, expressions relating W with the structure of the respective HS, results on HS's extremal w.r.t. W, and on integers that cannot be the W-values of HS's.
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The hyper-Wiener index of graph operations
TL;DR: The hyper-Wiener indices of the Cartesian product, composition, join and disjunction of graphs are computed and some of the results are applied to compute the hyper- Wiener index of C"4 nanotubes, C" 4 nanotori and q-multi-walled polyhexnanotori.
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Relationship between the Hosoya polynomial and the hyper-Wiener index
TL;DR: An equation is presented that gives the hyper-Wiener index, WW ( G), in terms of the first and second derivatives of H ( G, x), and a hyper-Hosoya polynomial, HH, is defined, which has the property WW (G ) = HH ′( G , 1), analogous to W ( G ) = H ‴( G, 1).
A bird's eye view of the cut method and a survey of its applications in chemical graph theory
TL;DR: A general description of the cut method is presented and an overview of its applications in chemical graph theory is given in this paper, where a computation of the Wiener index of an arbitrary connected graph using its canonical metric representation is described.
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Relation between hyper-Wiener and Wiener index
TL;DR: An identity between the hyper-Wiener index ( WW ) and the Wiener index of a tree is deduced in this article, showing that these two molecular-structuredescriptors are more intimately connected than earlier believed.
References
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Book
Introduction to the theory of benzenoid hydrocarbons
Ivan Gutman,Sven J. Cyvin +1 more
TL;DR: In this article, the authors proposed a method for the enumeration of Kekule structures and derived a set of properties of Benzenoid Hydrocarbons, including symmetry, symmetry, vertices, edges, and edges.
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Novel molecular descriptor for structure—property studies
TL;DR: In this paper, a novel molecular descriptor for the study of structure was proposed, which is derived from a matrix associated with molecular graph, the entries of which are related to the Wiener number.
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On the definition of the hyper-Wiener index for cycle-containing structures
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Extensions of the Wiener Number
TL;DR: Particularly for structure−property correlations there are many chemical graph-theoretic indices, one of which is Wiener's “path number”, which focuses on acyclic structure correlations.