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The Hosoya polynomial of distance-regular graphs
10.1016/j.dam.2014.06.018In this note we obtain an explicit formula for the Hosoya polynomial of any distance-regular graph in terms of its intersection array.
Juan Alberto Rodriguez-Velazquez +1 more
exaly +7 more sources
The Hosoya polynomial decomposition for catacondensed benzenoid graphs [PDF]
For a graph G with the vertex set V(G), we denote by d(u,v) the distance between vertices u and v in G, by d(u) the degree of vertex u. The Hosoya polynomial of G is H(G)=∑{u,v}⊆V(G)xd(u,v).
Heping Zhang, Shou-Jun Xu
exaly +5 more sources
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On the zeros of the partial Hosoya polynomial of graphs
Information Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Modjtaba Ghorbani +2 more
exaly +5 more sources
The Hosoya polynomial decomposition for hexagonal chains
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heping Zhang, Shou-Jun Xu
exaly +4 more sources
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.
V Anil Kumar
exaly +2 more sources
Hosoya polynomials under gated amalgamations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heping Zhang, Shoujun Xu
exaly +4 more sources
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
openaire +2 more sources
Numerical solution of Volterra–Fredholm integral equations with Hosoya polynomials
In this study, Volterra-Fredholm integral equation is solved by Hosoya Polynomials. The solutions obtained with these methods were compared on the figure and table. And error analysis was done. Matlab programming language has been used to obtain conclusitions, tables and error analysis within a certain algorithm.
Ercan Çelik, Merve Zeynep Gecmen
exaly +4 more sources
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
exaly +2 more sources
The edge-Hosoya polynomial of benzenoid chains [PDF]
The Hosoya polynomial is a well known vertex-distance based polynomial, closely correlated to the Wiener index and the hyper-Wiener index, which are widely used molecular-structure descriptors. In the present paper we consider the edge version of the Hosoya polynomial.
Niko Tratnik, Petra Žigert Pleteršek
exaly +3 more sources

