Results 11 to 20 of about 268,469 (172)

Hosoya Polynomials Of Some Semiconducotors

open access: yesJournal of Kufa for Mathematics and Computer, 2014
The Hosoya polynomial of a graph G is a graphical invariant polynomial that its first derivative at x = 1 is equal to the Wiener index and second derivative at x =1 is equal to the hyperWiener index.
Azeez Lafta Jabir   +2 more
doaj   +3 more sources

Hosoya polynomial of the subdivided join [PDF]

open access: yesKuwait Journal of Science, 2019
The Hosoya polynomials of diameter 1 and diameter 2 graphs are known. We extend the concept of  a vertex join of a graph to q-vertex join. Then we give the formula of the Hosoya polynomial of a $q$-vertex join of a complete graph and the formula of the ...
Eunice Gogo Mphako-Banda   +1 more
doaj   +2 more sources

Hosoya polynomial of composite graphs [PDF]

open access: yesDiscrete Mathematics, 2001
Let G1+G2, G1∇G2, G1[G2], G1∘G2 and G1{G2} be the sum, join, composition, corona and cluster, respectively, of the graphs G1 and G2. Elsewhere, Yeh and Gutman computed the Wiener number of these composite graphs.
Dragan Stevanović, Stevanović, Dragan
core   +3 more sources

A method for computing the edge-Hosoya polynomial with application to phenylenes [PDF]

open access: yesmatch Communications in Mathematical and in Computer Chemistry, 2023
The edge-Hosoya polynomial of a graph is the edge version of the famous Hosoya polynomial. Therefore, the edge-Hosoya polynomial counts the number of (unordered) pairs of edges at distance $k ge 0$ in a given graph. It is well known that this polynomial
Tratnik, Niko, Knor, Martin
core   +4 more sources

The Hosoya-Wiener Polynomial of Weighted Trees [PDF]

open access: yesCroatica Chemica Acta, 2007
Formulas for the Wiener number and the Hosoya-Wiener polynomial of edge and vertex weighted graphs are given in terms of edge and path contributions.
Blaž Zmazek   +3 more
core   +4 more sources

Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems

open access: yesJournal of Chemistry, 2020
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.
Zhong-Lin Cheng   +4 more
doaj   +2 more sources

On Terminal Hosoya Polynomial of Some Thorn Graphs

open access: yes, 2018
In this paper we obtain the terminal Hosoya polynomial for caterpillers, thorn stars and thorn rings. These results generalizes the existing results.
Gouramma A. Gudodagi (5759582)   +2 more
core   +2 more sources

The Hosoya Entropy of a Graph [PDF]

open access: yesEntropy, 2015
This paper demonstrates properties of Hosoya entropy, a quantitative measure of graph complexity based on a decomposition of the vertices linked to partial Hosoya polynomials.
Abbe Mowshowitz, Matthias Dehmer
doaj   +3 more sources

Hosoya and Wiener Index of Zero-Divisor Graph of Z pm q2 [PDF]

open access: yesZanco Journal of Pure and Applied Sciences, 2019
In this work, we study zero-divisor graph of the ring Zpmq2 and give some properties of this graph. Furthermore we find Hosoya polynomial and Wiener index for this graph.
Nazar H. Shuker   +2 more
doaj   +2 more sources

Extremal Bicyclic Graphs with Respect to Permanental Sums and Hosoya Indices

open access: yesAxioms
Graph polynomials is one of the important research directions in mathematical chemistry. The coefficients of some graph polynomials, such as matching polynomial and permanental polynomial, are related to structural properties of graphs.
Tingzeng Wu, Yinggang Bai, Shoujun Xu
doaj   +2 more sources

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