Results 161 to 170 of about 268,469 (172)

The polygonal cylinder and its Hosoya polynomial

Online Journal of Analytic Combinatorics, 2020
We 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, Naseem, Asim, Waqar Ahmed, Hafiz Muhammad   +2 more
openaire   +2 more sources

Hosoya polynomials of random benzenoid chains

2016
Summary: Let \(G\) be a molecular graph with vertex set \(V(G)\), \(d_G(u, v)\) the topological distance between vertices \(u\) and \(v\) in \(G\). The Hosoya polynomial \(H(G, x)\) of \(G\) is a polynomial \(\sum_{\{u, v\}\subseteq V(G)}x^{d_G(u, v)}\) in variable \(x\). In this paper, we obtain an explicit analytical expression for the expected value
Xu, S.-J., He, Q.-H., Zhou, S., Chan, W.
openaire   +2 more sources

Hosoya polynomial and Wiener index of concatenated octachains

2020
Summary: Wiener index of a connected graph \(G=(V,E)\) is defined as \(W(G)=\sum_{\{u,v\}\subset V(G)}d(u,v)\) and Hosoya polynomial is defined as \(H(G,x)=\sum_{\{u,v\}\subset V(G)}x^{d(u,v)}\). In this paper, Wiener index and Hosoya polynomials of several types of graphs consisting of concatenated octagon rings which are used in chemistry ...
Cangül, İsmail Naci, Amudha, B B, Srınıvasa, Rao   +2 more
openaire   +2 more sources

Hosoya polynomials of armchair open‐ended nanotubes

International Journal of Quantum Chemistry, 2006
AbstractFor a connected graph G we denote by d(G,k) the number of vertex pairs at distance k. The Hosoya polynomial of G is H(G,x) = ∑k≥0 d(G,k)xk. In this paper, analytical formulae for calculating the polynomials of armchair open‐ended nanotubes are given. Furthermore, the Wiener index, derived from the first derivative of the Hosoya polynomial in x =
Shoujun Xu, Heping Zhang
openaire   +1 more source

A General Formula for Computing the Hosoya Polynomial of Capped Armchair Nanotubes

Polycyclic Aromatic Compounds, 2021
Xiaodan Chen
exaly  

The star of David and other patterns in Hosoya polynomial triangles

J. Integer Seq., 2018
Summary: We define two types of second-order polynomial sequences. A sequence is of \textit{Fibonacci-type (Lucas-type)} if its Binet formula is similar in structure to the Binet formula for the Fibonacci (Lucas) numbers. Familiar examples are Fibonacci polynomials, Chebyshev polynomials, Morgan-Voyce polynomials, Lucas polynomials, Pell polynomials ...
Rigoberto Flórez, Robinson A. Higuita, Antara Mukherjee   +2 more
openaire   +2 more sources

Hosoya polynomials and Wiener indices of carbon nanotubes using mathematica programming

Journal of Discrete Mathematical Sciences and Cryptography, 2022

exaly  

Discrimination power of graph measures based on complex zeros of the partial Hosoya polynomial

Applied Mathematics and Computation, 2015
Matthias Dehmer, Yongtang Shi, Abbe Mowshowitz   +2 more
exaly  

Matching polynomial coefficients and the Hosoya indices of poly(p-phenylene) graphs

Molecular Physics, 2018
Bholanath Mandal
exaly  

Hosoya polynomial and Harary index of SM family of graphs

Journal of Information and Optimization Sciences, 2018
exaly