Results 41 to 50 of about 268,469 (172)

Detour Hosoya Polynomials of Some Compound Graphs [PDF]

open access: yes, 2010
In this paper we will introduce a new graph distance based polynomial; Detour Hosoya polynomials of graphs . The Detour Hosoya polynomials  for some special graphs such as paths and cycles are obtained.
Herish Abdullah, Gashaw Muhammed-Saleh
core   +1 more source

Hosoya polynomial, Wiener and Hyper-Wiener indices of some regular graphs

open access: yes, 2020
Let G be a graph. The distance d(u,v) between two vertices u and v of G is equal to the length of a shortest path that connects u and v. The Wiener index W(G) is the sum of all distances between vertices of G, whereas the hyper-Wiener index WW(G) is ...
Mohammad Reza Farahani
core   +1 more source

Numerical Solution of Volterra Integral Equations Using Hosoya Polynomial

open access: yes, 2021
In this study, Volterra integral equation is solved by Hosoya Polynomials. The solutions obtained with Hosoya method were compared on the figure and table. And error analysis was done.
Mustafa Ali Dokuyucu   +2 more
core   +1 more source

Linear Algorithms for the Hosoya Index and Hosoya Matrix of a Tree [PDF]

open access: yes, 2021
The Hosoya index of a graph is defined as the total number of its independent edge sets. This index is an important example of topological indices, a molecular-graph based structure descriptor that is of significant interest in combinatorial chemistry ...
Vesel, Aleksander, Aleksander Vesel
core   +1 more source

Hosoya Polynomials of Hexagonal Chains

open access: yes, 2023
Topological indices are used in mathematically modeling graphs and have applications in chemistry, where they can be used to relate structures of molecular compounds to their properties.The Hosoya polynomial can be used to determine distance-based ...
Scheinbaum, Jessica
core   +1 more source

Hosoya and Harary Polynomials of TOX(n),RTOX(n),TSL(n) and RTSL(n)

open access: yesDiscrete Dynamics in Nature and Society, 2019
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.
Lian Chen   +5 more
doaj   +1 more source

On a generalization of the Hosoya triangle [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics
This paper introduces the Fibonacci polynomial triangle, inspired by the structure of the Hosoya triangle and constructed using Fibonacci polynomials.
Turhan Çifçi   +2 more
doaj   +1 more source

Predicting Physicochemical Properties of Antibiotic Drugs via Neighborhood Degree‐Based Topological Indices and QSPR Models

open access: yesComplexity, Volume 2026, Issue 1, 2026.
Quantitative structure–property relationship (QSPR) models generate a mathematical formalism describing the molecular structure with the help of physical and chemical properties of compounds. In the present work, we are reporting an investigation on a set of neighborhood degree‐based topological indices for QSPR studies of some antibiotic drugs such as
Fengwei Li   +5 more
wiley   +1 more source

Construction of Graphs and Zero‐Divisor Graphs by Degree‐Joint Operations of Graphs

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
The new construction of graphs obtained by degree‐joint operations between maximum‐degree and minimum‐degree of some types of graphs with different vertex and edge sets denoted by Gδ, GΔ respectively, joins vertices of maximum (minimum) degree in one graph with those of the same type in the other graph of the second graph, where the degree‐joint ...
Mohammed N. Authman   +3 more
wiley   +1 more source

Some Topological and Polynomial Indices (Hosoya and Schultz) for the Intersection Graph of the Subgroup of〖 Z〗_(r^n )

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2021
Let  be any group with identity element (e) . A subgroup intersection graph of  a subset  is the Graph with V ( ) =  - e and two separate peaks c and d contiguous for c and d if and only if      , Where  is a Periodic subset of resulting from  .
Alaa J. Nawaf, Akram S. Mohammad
doaj   +1 more source

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