Results 21 to 30 of about 9,542 (190)
The Wiener polarity index of benzenoid systems and nanotubes [PDF]
, 2017 In this paper, we consider a molecular descriptor called the Wiener polarity index, which is defined as the number of unordered pairs of vertices at distance three in a graph.
Tratnik, Niko
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Link between Hosoya index and Fibonacci numbers [PDF]
Miskolc Mathematical Notes, 2018 Summary: Let $G$ be a graph and $Z(G)$ be its Hosoya index. We show how the Hosoya index can be a good tool to establish some new identities involving Fibonacci numbers. This permits to extend \textit{C. J. Hillar} and \textit{T. Windfeldt} [Fibonacci Q. 46--47, No. 3, 220--224 (2009; Zbl 1216.11016)].
Belbachir, Hacène, Harik, Hakim
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Computing the Hosoya Polynomial of M-th Level Wheel and Its Subdivision Graph
Journal of Chemistry, 2021 The determination of Hosoya polynomial is the latest scheme, and it provides an excellent and superior role in finding the Weiner and hyper-Wiener index. The application of Weiner index ranges from the introduction of the concept of information theoretic
Peng Xu +5 more
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Chemical trees minimizing energy and Hosoya index [PDF]
Journal of Mathematical Chemistry, 2008 The energy of a molecular graph is a popular parameter that is defined as the sum of the absolute values of a graph's eigenvalues. It is well known that the energy is related to the matching polynomial and thus also to the Hosoya index via a certain Coulson integral.
Heuberger, Clemens, Wagner, Stephan G.
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Zero Divisor Graph Of ZpM qr with Applications [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2020 In this paper, we study zero-divisor graph of the ring Zpmqr and give some properties of this graph. Also, we find the chromatic number, Hosoya polynomial and Wiener index of this graph.
Nazar Shuker +2 more
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Zeitschrift für Naturforschung A, 1987 Some inequalities for Hosoya's topological index are deduced, revealing its dependence on the structure of the carbon-atom sekeleton of a hydrocarbon molecule.
I. Gutman, J. Cioslowski
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Hosoya Polynomials Of Some Semiconducotors
Journal 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 hyperï€Wiener index.
Azeez Lafta Jabir +2 more
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The n-Hosoya Polynomials of the Composite of Some Special Graphs [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2013 It is not easy to find the n-Hosoya polynomial of the compound graphs constructed in the form G1⊠G2 for any two disjoint connected graphs and .Therefore, in this paper, we obtain n-Hosoya polynomial of G1⊠G2 when is a complete graph and is a special ...
Ahmed Ali
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Peripheral Hosoya polynomial of composite graphs [PDF]
Transactions on Combinatorics, 2022 Peripheral Hosoya polynomial of a graph $G$ is defined as, \begin{align*} &PH(G,\lambda)=\sum_{k\geq 1}d_P(G,k)\lambda^k,\\ \text{where $d_P(G,k)$ is the number} &\text{ of pairs of peripheral vertices at distance $k$ in $G$.} \end{align ...
Anteneh Ali, Kishori Narayankar
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On Annihilating - Ideal Graph of Zn [PDF]
Al-Rafidain Journal of Computer Sciences and Mathematics, 2018 In this paper, we study and give some properties of annihilating-ideal graphs of Zn, also we find Hosoya polynomial and Wiener index for this graph.
Husam Mohammad, Sahbaa Younus
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