Results 21 to 30 of about 143,498 (274)

Hosoya Polynomials Of Some Semiconducotors

open access: yesJournal of Kufa for Mathematics and Computer, 2014
The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperWiener index.
Azeez Lafta Jabir   +2 more
doaj   +1 more source

Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems

open access: yesJournal of Chemistry, 2020
In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound.
Zhong-Lin Cheng   +4 more
doaj   +1 more source

The Graovac-Pisanski index of a connected bipartite graph is an integer number [PDF]

open access: yes, 2017
The Graovac-Pisanski index, also called the modified Wiener index, was introduced in 1991 and represents an extension of the original Wiener index, because it considers beside the distances in a graph also its symmetries.
Knor, Martin   +3 more
core   +3 more sources

GTI-space : the space of generalized topological indices [PDF]

open access: yes, 2008
A new extension of the generalized topological indices (GTI) approach is carried out torepresent 'simple' and 'composite' topological indices (TIs) in an unified way.
A.R Matamala   +34 more
core   +1 more source

Wiener Index and Remoteness in Triangulations and Quadrangulations

open access: yes, 2021
Let $G$ be a a connected graph. The Wiener index of a connected graph is the sum of the distances between all unordered pairs of vertices. We provide asymptotic formulae for the maximum Wiener index of simple triangulations and quadrangulations with ...
Czabarka, Éva   +3 more
core   +1 more source

A Note on “Wiener Index of a Fuzzy Graph and Application to Illegal Immigration Networks”

open access: yesApplied Sciences, 2021
Connectivity parameters have an important role in the study of communication networks. Wiener index is such a parameter with several applications in networking, facility location, cryptology, chemistry, and molecular biology, etc.
Hoon Lee, Xue-gang Chen, Moo Young Sohn
doaj   +1 more source

The Wiener polarity index of benzenoid systems and nanotubes [PDF]

open access: yes, 2017
In this paper, we consider a molecular descriptor called the Wiener polarity index, which is defined as the number of unordered pairs of vertices at distance three in a graph.
Tratnik, Niko
core   +3 more sources

Comparison of the Wiener and Kirchhoff Indices of Random Pentachains

open access: yesJournal of Mathematics, 2021
Let G be a connected (molecule) graph. The Wiener index WG and Kirchhoff index KfG of G are defined as the sum of distances and the resistance distances between all unordered pairs of vertices in G, respectively.
Shouliu Wei   +3 more
doaj   +1 more source

Wiener, edge-Wiener, and vertex-edge-Wiener index of Basilica graphs

open access: yesDiscrete Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matteo Cavaleri   +3 more
openaire   +2 more sources

Tail Bounds for the Wiener Index of Random Trees [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2007
Upper and lower bounds for the tail probabilities of the Wiener index of random binary search trees are given. For upper bounds the moment generating function of the vector of Wiener index and internal path length is estimated.
Tämur Ali Khan, Ralph Neininger
doaj   +1 more source

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