Results 11 to 20 of about 143,498 (274)

On the Wiener Complexity and the Wiener Index of Fullerene Graphs

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   +3 more sources

The quotients between the (revised) Szeged index and Wiener index of graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
Let $Sz(G),Sz^*(G)$ and $W(G)$ be the Szeged index, revised Szeged index and Wiener index of a graph $G.$ In this paper, the graphs with the fourth, fifth, sixth and seventh largest Wiener indices among all unicyclic graphs of order $n\geqslant 10$ are ...
Huihui Zhang, Jing Chen, Shuchao Li
doaj   +3 more sources

The Mostar and Wiener index of Alternate Lucas Cubes [PDF]

open access: yesTransactions on Combinatorics, 2023
The Wiener index and the Mostar index quantify two distance related properties of connected graphs: the Wiener index is the sum of the distances over all pairs of vertices and the Mostar index is a measure of how far the graph is from being distance ...
Omer Eğecioğlu   +2 more
doaj   +1 more source

Algorithms for Computing Wiener Indices of Acyclic and Unicyclic Graphs

open access: yesComplexity, 2021
Let G=VG,EG be a molecular graph, where VG and EG are the sets of vertices (atoms) and edges (bonds). A topological index of a molecular graph is a numerical quantity which helps to predict the chemical/physical properties of the molecules.
Bo Bi   +5 more
doaj   +1 more source

Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks

open access: yesJournal of Mathematics, 2021
Topological indices are the numbers associated with the graphs of chemical compounds/networks that help us to understand their properties. The aim of this paper is to compute topological indices for the hierarchical hypercube networks. We computed Hosoya
Tingmei Gao, Iftikhar Ahmed
doaj   +1 more source

Multicenter Wiener indices and their applications [PDF]

open access: yesJournal of the Serbian Chemical Society, 2015
The Wiener index W can be viewed as a molecular structure descriptor composed of increments representing interactions between pairs of atoms. A generalization of the W are the Steiner-Wiener indices kW, k=3,4,....
Gutman Ivan, Furtula Boris, Li Xueliang
doaj   +1 more source

Wiener index of quadrangulation graphs

open access: yesDiscrete Applied Mathematics, 2021
The Wiener index of a graph $G$, denoted $W(G)$, is the sum of the distances between all pairs of vertices in $G$. . Czabarka, et al. conjectured that for an $n$-vertex, $n\geq 4$, simple quadrangulation graph $G$, \begin{equation*}W(G)\leq \begin{cases} \frac{1}{12}n^3+\frac{7}{6}n-2, &\text{ $n\equiv 0~(mod \ 2)$,}\\ \frac{1}{12}n^3+\frac{11 ...
Ervin Győri   +2 more
openaire   +2 more sources

On the Wiener Polynomials of Some Trees [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2007
The Wiener index is a graphical invariant which has found many applications in chemistry. The Wiener Polynomial of a connected graph G is the generating function of the sequence (C(G,k)) whose derivative at x=1 is the Wiener index W(G) of G, in which C(G,
Ali Ali, Ahmed Ali
doaj   +1 more source

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   +1 more source

Equiseparability on Terminal Wiener Index [PDF]

open access: yesApplied Mathematics Letters, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deng, Xiaotie, Zhang, Jie
openaire   +6 more sources

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