Results 1 to 10 of about 16,423 (156)

On the Wiener Complexity and the Wiener Index of Fullerene Graphs [PDF]

open access: yesMathematics, 2019
Fullerenes are molecules that can be presented in the form of cage-like polyhedra, consisting only of carbon atoms. Fullerene graphs are mathematical models of fullerene molecules.
Andrey A. Dobrynin, Andrei Yu Vesnin
doaj   +5 more sources

Wiener Index of Some Brooms [PDF]

open access: yesComputer Science Journal of Moldova, 2022
In the field of chemical graph theory, a Wiener (topological) index is a type of a molecular descriptor that is calculated based on the molecular graph of alkanes.
Julian D. Allagan
doaj   +3 more sources

Wiener index for an intuitionistic fuzzy graph and its application in water pipeline network

open access: yesAin Shams Engineering Journal, 2023
The usefulness of different topological indices is inevitable in various fields such as Chemistry, Electronics, Economics and Business studies, medical and social sciences. The “purpose of this paper is to study” Wiener index for the Intuitionistic fuzzy
Javeria Dinar   +3 more
doaj   +3 more sources

On Wiener Polarity Index and Wiener Index of Certain Triangular Networks

open access: yesJournal of Chemistry, 2021
A topological index of graph G is a numerical quantity which describes its topology. If it is applied to the molecular structure of chemical compounds, it reflects the theoretical properties of the chemical compounds. A number of topological indices have
Mr. Adnan   +2 more
doaj   +2 more sources

Generalizations of Wiener Polarity Index and Terminal Wiener Index [PDF]

open access: yesGraphs and Combinatorics, 2012
In theoretical chemistry, distance-based molecular structure descriptors are used for modeling physical, pharmacologic, biological and other properties of chemical compounds. We introduce a generalized Wiener polarity index $W_k (G)$ as the number of unordered pairs of vertices ${u, v}$ of $G$ such that the shortest distance $d (u, v)$ between $u$ and $
Aleksandar Ilić, Ilić Aleksandar
exaly   +3 more sources

Extension of the Wiener index and Wiener polynomial

open access: yesApplied Mathematics Letters, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehdi Eliasi, Bijan Taeri
exaly   +2 more sources

The edge-Wiener index and the edge-hyper-Wiener index of phenylenes [PDF]

open access: yesDiscrete Applied Mathematics, 2019
Besides the well known Wiener index, which sums up the distances between all the pairs of vertices, and the hyper-Wiener index, which includes also the squares of distances, the edge versions of both indices attracted a lot of attention in the recent years.
exaly   +3 more sources

Note of the hyper-Wiener index [PDF]

open access: yesJournal of the Serbian Chemical Society, 2003
The hyper-Wiener index WW of a chemical tree T is defined as the sum of the products n1n2, over all pairs υ,ν of vertices of T, where n1 and n2 are the number of vertices of T, lying on the two sides of the path which connects υ and ν.
Gutman Ivan   +2 more
doaj   +4 more sources

The Steiner Wiener Index of A Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2016
The Wiener index W(G) of a connected graph G, introduced by Wiener in 1947, is defined as W(G) = ∑u,v∈V(G) d(u, v) where dG(u, v) is the distance between vertices u and v of G. The Steiner distance in a graph, introduced by Chartrand et al. in 1989, is a
Li Xueliang, Mao Yaping, Gutman Ivan
doaj   +2 more sources

Upgrading the Wiener index [PDF]

open access: yesJournal of the Serbian Chemical Society, 2002
The Wiener index Wis the oldest molecular-graph-based structure-descriptor. It is defined as the sum of the distances of all pairs of vertices of the molecular graph G, where the distance is the number of edges in the shortest path connecting the ...
Castro Eduardo A.   +3 more
doaj   +3 more sources

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