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Hyper-Wiener Index vs. Wiener Index. Two Highly Correlated Structure-Descriptors
Monatshefte für Chemie - Chemical Monthly, 2003The Wiener (W) and hyper-Wiener (WW) indices of alkanes are found to be highly correlated. Hence, these two structure-descriptors pertain to the very same structural features of the underlying molecules and one of them may be viewed as superfluous. For alkane isomers with n carbon atoms, WW is bounded from both above and below by linear functions of W.
Ivan Gutman, Boris Furtula
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Relation between hyper-Wiener and Wiener index
Chemical Physics Letters, 2002Abstract An identity between the hyper-Wiener index ( WW ) and the Wiener index ( W ) of a tree is deduced, showing that these two molecular-structure-descriptors are more intimately connected than earlier believed. Let T be a tree on n vertices and e be its edge.
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On the Relation between W ‘/W Index, Hyper-Wiener Index, and Wiener Number
Journal of Chemical Information and Computer Sciences, 1999It is shown analytically that the W'/W index, the hyper-Wiener index, and the Wiener number are closely related graph-theoretical invariants for acyclic structures. A general analytical expression for the hyper-Wiener index of a tree is derived too.
Lerš, Nella +2 more
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A Novel Definition of the Overall Hyper‐Wiener Index for Unsaturated Hydrocarbons.
ChemInform, 2004By replacing the distances between pairs of vertices with the relative distances, we define a novel overall hyper-Wiener index (NOR); the novel overall hyper-Wiener index extends the usefulness of the hyper-Wiener index and the overall hyper-Wiener index to unsaturated hydrocarbons.
Xinhua, Li, Maolin, Hu, Hongping, Xiao
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Polynomial expressions for the hyper-Wiener index of extended hydrocarbon networks
Computers & Chemistry, 2001General expressions are derived for the hyper-Wiener index (WW) for several series of hydrocarbons, both benzenoid and non-benzenoid, including some two-dimensional networks. Indeed, such expressions were found for all but one series studied. Methods are also described for eliminating the register overflow problem that besets computer-based approaches ...
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The valence hyper-Wiener index for unsaturated hydrocarbons of chemical trees
Chemical Physics Letters, 2002By replacing the distances between pairs of vertices with relative distances, we define a novel valence hyper-Wiener index (VWW). The valence hyper-Wiener index extends the usefulness of the hyper-Wiener index to unsaturated hydrocarbons.
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Radiotheranostics in oncology: Making precision medicine possible
Ca-A Cancer Journal for Clinicians, 2023Eric Aboagye
exaly
On the Definition of the Hyper-Wiener Index for Cycle-Containing Structures
Journal of chemical information and computer sciences, 1995D. Klein, I. Lukovits, I. Gutman
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Molecular topology. 25. Hyper-Wiener index of dendrimers
Journal of Chemical Information and Computer Sciences, 1995Mircea V. Diudea, Bazil Parv
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