Results 131 to 140 of about 21,361 (171)

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-
A. Alhevaz, M. Baghipur, S. Rahimi
semanticscholar   +2 more sources

The maximum hyper-Wiener index of cacti

Journal of Applied Mathematics and Computing, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Dong-fang, Tan, Shang-wang
exaly   +3 more sources

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 ...
A. Alhevaz, M. Baghipur
semanticscholar   +2 more sources

Fractal version of hyper-Wiener index

Chaos, Solitons & Fractals, 2023
Ying Lu, Jia-Jun Xu, Li-Feng Xi
semanticscholar   +2 more sources

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 ...
G. Cash
semanticscholar   +4 more sources

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.
Jia-Jun Xu, Lifeng Xi
semanticscholar   +2 more sources

Formulas for the Hyper-Wiener Index of Trees

Journal of Chemical Information and Computer Sciences, 1994
I. Lukovits
semanticscholar   +2 more sources

A Novel Definition of the Hyper-Wiener Index for Cycles

Journal of Chemical Information and Computer Sciences, 1994
I. Lukovits, W. Linert
semanticscholar   +3 more sources

On the Definition of the Hyper-Wiener Index for Cycle-Containing Structures

Journal of Chemical Information and Computer Sciences, 1995
D. Klein, I. Lukovits, I. Gutman
semanticscholar   +3 more sources

Hyper-Wiener index for fuzzy graph and its application in share market

Journal of Intelligent & Fuzzy Systems, 2021
Topological indices have an important role in molecular chemistry, network theory, spectral graph theory and several physical worlds. Most of the topological indices are defined in a crisp graph.
S. R. Islam, M. Pal
semanticscholar   +1 more source