Results 151 to 160 of about 268,469 (172)

Hosoya polynomials of TUC4C8(S) nanotubes

Journal of Mathematical Chemistry, 2008
The 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.
Heping Zhang, Shou-Jun Xu
exaly   +2 more sources

Hosoya polynomials and corresponding indices of aramids

International Journal of Geometric Methods in Modern Physics, 2023
Aramids 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, Umber Sheikh, Ayesha Sattar, Richard Pincak   +3 more
openaire   +2 more sources

The Edge-Hosoya Polynomial of Catacondensed Benzenoid Graphs Associated with its Hosoya Polynomial

Match Communications in Mathematical and in Computer Chemistry
This 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
openaire   +1 more source

Hosoya polynomial of some cactus chains

Cogent Mathematics, 2017
Let G=(V,E) be a simple graph. Hosoya polynomial of G is H(G,x)=∑{u,v}⊆V(G)xd(u,v), where d(u, v) denotes the distance between vertices u and v.
Saeid Alikhani, Abdul Jalil M. Khalaf, Ali Sadeghieh   +2 more
exaly   +2 more sources

Generalized Hosoya polynomials of hexagonal chains

Journal of Mathematical Chemistry, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heping Zhang, Shou-Jun Xu
exaly   +2 more sources

The Hosoya Polynomial of One-Pentagonal Carbon Nanocone

Fullerenes Nanotubes and Carbon Nanostructures, 2014
Let G be a chemical graph with vertex set V(G) and the distance between vertices u and v in G. The Hosoya polynomial in variable x of graph G is . In this article, we give an analytical expression for calculating the Hosoya polynomial of one-pentagonal carbon nanocone. Furthermore, a series of distance-based molecular structure descriptors, such as the
Shou-Jun Xu
exaly   +2 more sources

The Hosoya Polynomial of One-Heptagonal Nanocone

Current Nanoscience, 2013
For a molecular graph G with vertex set V (G) , we denote by dG (u,v ) the distance between vertices u and v in G ...
Shou-Jun Xu, Qiu-Xia Zhang
openaire   +1 more source

Reliability Hosoya-Wiener Polynomial of Double Weighted Trees

Fundamenta Informaticae, 2016
Reliability 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 ...
Darja Rupnik Poklukar, Janez Zerovnik
openaire   +2 more sources

Relationship between the Hosoya polynomial and the hyper-Wiener index

Applied Mathematics Letters, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

On the roots of Hosoya polynomial of a graph

2013
Let G = (V, E) be a simple graph. Hosoya polynomial of G is ) v , u ( d ) G ( V } v , u { x = ) x , G ( H   , where, d(u ,v) denotes the distance between vertices u and v. As is the case with other graph polynomials, such as chromatic, independence and domination polynomial, it is natural to study the roots of Hosoya polynomial of a graph.
REYHANI, M., ALIKHANI, S., IRANMANESH, M.   +2 more
openaire   +1 more source