Results 171 to 180 of about 28,315 (192)

The extended hyper-Wiener index

Canadian Journal of Chemistry, 2003
According to the definition of molecular connectivity and the definition of a hyper-Wiener index, a novel set of hyper-Wiener indexes (Rn, mRn) are defined and are named the extended hyper-Wiener indexes. Where n = 1, 2, 3, 4,... represents the type of subgraph units and is the number of endmost atoms of the subgraph unit, m is the number of atoms of ...
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A Novel Definition of the Overall Hyper‐Wiener Index for Unsaturated Hydrocarbons.

ChemInform, 2004
By 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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A note on a formula for the hyper-Wiener index of some trees

Computers & Chemistry, 1995
Summary: The hyper-Wiener index \(R\) is an extension of the well known Wiener index. A formula allowing to calculate \(R\) for trees containing two branching points, the maximal degree of which is four, or for graphs containing one branching point the maximal degree of which is six, or for chains has been derived.
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On the Relation between W ‘/W Index, Hyper-Wiener Index, and Wiener Number

Journal of Chemical Information and Computer Sciences, 1999
It 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, Plavšić, Dejan, Sertić-Bionda, Katica   +2 more
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Fractal version of hyper-Wiener index

Chaos, Solitons & Fractals, 2023
Ying Lu, Jiajun Xu, Lifeng Xi
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Hyper Wiener Index of C4C8(S) Nanotubes

Current Nanoscience, 2010
The hyper Wiener index of a molecular graph is defined as one half of the sum of the distances and square distances between all (unordered) pairs of vertices of the graph. In this paper we find an exact formula for calculation of the hyper Wiener index of nanotubes which have square and octagon structure and denoted by C4C8(S) nanotubes.
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Relation between hyper-Wiener and Wiener index

Chemical Physics Letters, 2002
Abstract 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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HYPER-WIENER INDEX ON LEVEL-3 SIERPINSKI GASKET

Fractals
The hyper-Wiener index plays an important role in chemical graph theory. In this paper, using the technique named finite pattern, we discuss the hyper-Wiener index on level-3 Sierpinski gasket which is a self-similar fractal.
JIAJUN XU, LIFENG XI
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A Novel Definition of the Hyper-Wiener Index for Cycles

Journal of Chemical Information and Computer Sciences, 1994
István Lukovits, Wolfgang Linert
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The Edge-Hyper-Wiener Index of Zigzag Single-Walled Nanotubes

Polycyclic Aromatic Compounds, 2023
Guangfu Wang, Jianxin Wei, Jia-Bao Liu   +2 more
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