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The Edge-Hyper-Wiener Index of Zigzag Single-Walled Nanotubes

Polycyclic aromatic compounds (Print), 2022
A topological index is a numerical value associated with a graph structure that has some correlation with corresponding physical property, chemical reaction or biological activity.
Guang-Fu Wang   +3 more
semanticscholar   +1 more source

A Linear Algorithm for the Hyper-Wiener Index of Chemical Trees

Journal of Chemical Information and Computer Sciences, 2001
An algorithm with a complexity linear in the number of vertices is proposed for the computation of the Hyper-Wiener index of chemical trees. This complexity is the best possible. Computational experience for alkanes is reported.
Roberto Aringhieri   +2 more
openaire   +3 more sources

Hyper-Wiener index for acyclic structures

Journal of Structural Chemistry, 1999
The discriminating ability of the hyper-Wiener index (the ability to discriminate between isomers) is discussed on a class of acyclic structures (trees) including the molecular graphs of alkanes. For trees with 4 to 26 vertices, numerical data on the classes of trees with coincident indices were obtained. For classes with maximal power, the diagrams of
A. A. Dobrynin   +2 more
openaire   +1 more source

EDGE-HYPER-WIENER INDEX ON LEVEL-3 SIERPINSKI NETWORKS

Fractals
Using the technique of finite pattern, for level-3 Sierpinski networks, we obtain their exact formulae of edge-hyper-Wiener index, which is the sum of the distances and the square of distances between all pairs of edges.
Caimin Du, Yiqi Yao, Li-Feng Xi
semanticscholar   +1 more source

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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THE HYPER-WIENER INDEX OF THE kth POWER OF A GRAPH

Discrete Mathematics, Algorithms and Applications, 2011
The k th power of a graph G, denoted by Gk, is a graph whose vertex set is V(G), two distinct vertices being adjacent in Gk if and only if their distance in G is at most k. The hyper-Wiener index WW(G) of a graph G is defined as [Formula: see text], where dG(u,v) is the distance between vertices u and v in G.
Weijuan Zhang   +2 more
openaire   +3 more sources

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
openaire   +3 more sources

Bond order weighted hyper-Wiener index

Journal of Molecular Structure: THEOCHEM, 2003
Abstract In this work the hyper-Wiener index calculated and are weighted by Mulliken bond orders. We have considered several formaldehyde derivatives to try to relate these values to an actual physical property (vibrational frequencies in this case). This was done in order to establish a relation between the quantities.
Xinhua Li, Abraham F. Jalbout
openaire   +1 more source

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.
openaire   +3 more sources

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