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Mathematical Modeling and Computation of NM-Polynomial Indices for Physicochemical Properties Prediction.

Sci Rep
Tawhari QM, Naeem M, Koam ANA, Ahmad A, Oyelakin O.   +4 more
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Polynomial expressions for the hyper-Wiener index of extended hydrocarbon networks

Computers & Chemistry, 2001
General 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 ...
Gordon G Cash
exaly   +3 more sources

Wiener Index, Hyper-Wiener Index, Harary Index and Hamiltonicity Properties of graphs

Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu, Gui-dong, Ren, Li-fang, Li, Xing-xing   +2 more
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Bond order weighted hyper-Wiener index

Computational and Theoretical Chemistry, 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.
Abraham F Jalbout
exaly   +2 more sources

The Overall Hyper-Wiener Index

Journal of Mathematical Chemistry, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, X. H., Lin, J. J.
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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, Pierre Hansen, Federico Malucelli   +2 more
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The maximum hyper-Wiener index of cacti

Journal of Applied Mathematics and Computing, 2014
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Wang, Dong-fang, Tan, Shang-wang
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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, I. Gutman, V. N. Piottukh-Peletskii   +2 more
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More on edge hyper Wiener index of graphs

2017
Summary: Let \(G=(V(G),E(G))\) be a simple connected graph with vertex set \(V(G)\) and edge set \(E(G)\). The (first) edge-hyper Wiener index of the graph \(G\) is defined as: \[\begin{aligned} WW_e(G)&=\sum_{\{f,g\}\subseteq E(G)} (d_e(f,g|G)+d_e^2(f,g|G))\\&=\frac{1}{2}\sum_{f\in E(G)} (d_e(f|G)+d^2_e(f|G)), \end{aligned}\] where \(d_e(f,g|G ...
Alhevaz, A., Baghipur, M.
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Bounds on hyper-Wiener index of graphs

Asian-European Journal of Mathematics, 2017
The Wiener number [Formula: see text] of a graph [Formula: see text] was introduced by Harold Wiener in connection with the modeling of various physic-chemical, biological and pharmacological properties of organic molecules in chemistry. Milan Randić introduced a modification of the Wiener index for trees (acyclic graphs), and it is known as the hyper-
Alhevaz, Abdollah, Baghipur, Maryam, Rahimi, Sadegh   +2 more
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