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Hosoya Polynomial for Subdivided Caterpillar Graphs
Combinatorial Chemistry & High Throughput Screening, 2022Background: Computing Hosoya polynomial for the graph associated with the chemical compound plays a vital role in the field of chemistry. From Hosoya polynomial, it is easy to compute Weiner index(Weiner number) and Hyper Weiner index of the underlying molecular structure.
Muhammad, Numan +3 more
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Hosoya polynomials and corresponding indices of aramids
International Journal of Geometric Methods in Modern Physics, 2023Aramids are man-made high performance fibers admitting useful industrial applications. Aramids can be classified into para-aramids and meta-aramids. Kevlar is a para-aramid and Nomex is a meta-aramid. This work is devoted to compute the empirical formula for the Hosoya polynomial of these aramids.
Sidra Rashid +3 more
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Generalized Hosoya polynomials of hexagonal chains
Journal of Mathematical Chemistry, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Shoujun, Zhang, Heping
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The Edge-Hosoya Polynomial of Catacondensed Benzenoid Graphs Associated with its Hosoya Polynomial
Match Communications in Mathematical and in Computer ChemistryThis paper reveals the relationship between edge-Hosoya polynomial and the Hosoya polynomial of catacondensed benzenoid graphs. The result shows that, for a catacondensed benzenoid graph, the computations of the edge-Hosoya polynomial can be reduced to that of the Hosoya polynomial.
Li, Wei, Chen, Ailian, Wu, Jiali
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Reliability Hosoya-Wiener Polynomial of Double Weighted Trees
Fundamenta Informaticae, 2016Reliability Hosoya-Wiener polynomial for edge weighted graphs is defined, that can be used as a measure of reliability of a communication network. Each edge is assigned two weights, reliability and communication delay. Some basic properties are given and a recursive formula for the reliability Hosoya-Wiener polynomial of a rooted tree is proved that ...
Poklukar, Darja Rupnik, Žerovnik, Janez
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Hosoya polynomials of TUC4C8(S) nanotubes
Journal of Mathematical Chemistry, 2008The Hosoya polynomial of a chemical graph G is \({H(G,x)=\sum\nolimits_{\{u, v\}\subseteq V(G)} x^{d_G(u, v)}}\) , where dG(u, v) denotes the distance between vertices u and v. In this paper, we obtain analytical expressions for Hosoya polynomials of TUC4C8(S) nanotubes. Accordingly, the Wiener index, obtained by Diudea et al. (MATCH Commun.
Shoujun Xu, Heping Zhang
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The polygonal cylinder and its Hosoya polynomial
Online Journal of Analytic Combinatorics, 2020We introduce a polygonal cylinder \( C_{m,n} \), using the Cartesian product of paths \( P_m \) and \( P_n \) and using topological identification of vertices and edges of two opposite sides of \( P_m \times P_n \), and give its Hosoya polynomial, which, depending on odd and even \( m \), is covered in seven separate cases.
Nizami, Abdul Rauf +2 more
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Novel results on partial hosoya polynomials: An application in chemistry
Applied Mathematics and Computation, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Modjtaba Ghorbani +2 more
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On the roots of Hosoya polynomial
Journal of Discrete Mathematical Sciences and Cryptography, 2016AbstractLet G=(V, E) be a simple and a connected graph of diameter D. The Hosoya polynomial of G. is , where d(G, k)≥1, is the number of vertex pairs at distance k. The Wiener index of G is the first derivative of the Hosoya polynomial H(G, x) at x = 1. In this paper, we study the Hosoya polynomial and Wiener index of some family of graphs.
M. P. Shyama, V. Anil Kumar
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