Relevant bibliographies by topics / Hosoya polynomial

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Academic literature on the topic 'Hosoya polynomial'

Author: Grafiati
Published: 3 June 2025
Last updated: 1 August 2025

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Journal articles on the topic "Hosoya polynomial"

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Sheikh, Umber, Sidra Rashid, Cenap Ozel, and Richard Pincak. "On Hosoya Polynomial and Subsequent Indices of C4C8(R) and C4C8(S) Nanosheets." Symmetry 14, no. 7 (2022): 1349. http://dx.doi.org/10.3390/sym14071349.

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Chemical structures are mathematically modeled using chemical graphs. The graph invariants including algebraic polynomials and topological indices are related to the topological structure of molecules. Hosoya polynomial is a distance based algebraic polynomial and is a closed form of several distance based topological indices. This article is devoted to compute the Hosoya polynomial of two different atomic configurations (C4C8(R) and C4C8(S)) of C4C8 Carbon Nanosheets. Carbon nanosheets are the most stable, flexible structure of uniform thickness and admit a vast range of applications. The Hos
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Li, Wei, Ailian Chen, and Jiali Wu. "The Edge-Hosoya Polynomial of Catacondensed Benzenoid Graphs Associated with its Hosoya Polynomial." Match Communications in Mathematical and in Computer Chemistry 92, no. 3 (2024): 761–77. http://dx.doi.org/10.46793/match.92-3.761l.

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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.
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Wu, Tingzeng, Yinggang Bai, and Shoujun Xu. "Extremal Bicyclic Graphs with Respect to Permanental Sums and Hosoya Indices." Axioms 13, no. 5 (2024): 330. http://dx.doi.org/10.3390/axioms13050330.

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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. The Hosoya index of a graph is the sum of the absolute value of all coefficients for the matching polynomial. And the permanental sum of a graph is the sum of the absolute value of all coefficients of the permanental polynomial. In this paper, we characterize the second to sixth minimal Hosoya indices of all bicyclic graphs. Furthermore, using the results, the
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Knor, Martin, and Niko Tratnik. "A Method for Computing the Edge-Hosoya Polynomial with Application to Phenylenes." match Communications in Mathematical and in Computer Chemistry 89, no. 3 (2023): 605–29. http://dx.doi.org/10.46793/match.89-3.605k.

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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 ≥ 0 in a given graph. It is well known that this polynomial is closely related to the edge-Wiener index and the edge-hyper-Wiener index. As the main result of this paper, we greatly generalize an earlier result by providing a method for calculating the edge-Hosoya polynomial of a graph G which is obtained by identifying two edges of connected bipartite graphs G1 and G2. To show how the main theorem can be
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Abbas, Ghulam, Anam Rani, Muhammad Salman, Tahira Noreen, and Usman Ali. "Hosoya properties of the commuting graph associated with the group of symmetries." Main Group Metal Chemistry 44, no. 1 (2021): 173–84. http://dx.doi.org/10.1515/mgmc-2021-0017.

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Abstract A vast amount of information about distance based graph invariants is contained in the Hosoya polynomial. Such an information is helpful to determine well-known distance based molecular descriptors. The Hosoya index or Z-index of a graph G is the total number of its matching. The Hosoya index is a prominent example of topological indices, which are of great interest in combinatorial chemistry, and later on it applies to address several chemical properties in molecular structures. In this article, we investigate Hosoya properties (Hosoya polynomial, reciprocal Hosoya polynomial and Hos
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Das, Shibsankar, and Shikha Rai. "On the Hosoya polynomial of the third type of the chain hex-derived network." Journal of the Belarusian State University. Mathematics and Informatics, no. 3 (December 23, 2022): 67–78. http://dx.doi.org/10.33581/2520-6508-2022-3-67-78.

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A topological index plays an important role in characterising various physical properties, biological activities, and chemical reactivities of a molecular graph. The Hosoya polynomial is used to evaluate the distance-based topological indices such as the Wiener index, hyper-Wiener index, Harary index, and Tratch – Stankevitch – Zefirov index. In the present study, we determine a closed form of the Hosoya polynomial for the third type of the chain hex-derived network of dimension n and derive the distance-based topological indices of the network with the help of their direct formulas and altern
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Jabir, Azeez Lafta, AbdulJalil M. Khalaf, and Emad A. Jaffar AL-Mulla. "Hosoya Polynomials Of Some Semiconducotors." Journal of Kufa for Mathematics and Computer 2, no. 2 (2014): 49–55. http://dx.doi.org/10.31642/jokmc/2018/020208.

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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. In this paper we compute the Hosoya polynomial of some semiconducotors [Caesium Chloride, Perovskite structure, Zinc blende structure, Rock-salt(Nacl)structure, Wurtzite structure, Chalcopyrite structure], Wiener index and hyper-Wiener index for then.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
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8

Eliasi, Mehdi, and Bijan Taeri. "Hosoya polynomial of zigzag polyhex nanotorus." Journal of the Serbian Chemical Society 73, no. 3 (2008): 311–19. http://dx.doi.org/10.2298/jsc0803311e.

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The Hosoya polynomial of a molecular graph G is defined as H(G,?)=?{u,v}V?(G) ?d(u,v), where d(u,v) is the distance between vertices u and v. The first derivative of H(G,?) at ?=1 is equal to the Wiener index of G, defined as W(G)?{u,v}?V(G)d(u,v). The second derivative of 1/2 ?H(G, ?) at ?=1 is equal to the hyper-Wiener index, defined as WW(G)+1/2?{u,v}?V(G)d(u,v)?. Xu et al.1 computed the Hosoya polynomial of zigzag open-ended nanotubes. Also Xu and Zhang2 computed the Hosoya polynomial of armchair open-ended nanotubes. In this paper, a new method was implemented to find the Hosoya polynomia
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Ramane, H. S., A. B. Ganagi, K. P. Narayankar, and S. S. Shirkol. "Terminal Hosoya Polynomial of Line Graphs." Journal of Discrete Mathematics 2013 (June 13, 2013): 1–3. http://dx.doi.org/10.1155/2013/857908.

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The terminal Hosoya polynomial of a graph G is defined as TH(G,λ)=∑k≥1‍dT(G,k)λk, where dT(G,k) is the number of pairs of pendant vertices of G that are at distance k. In this paper we obtain terminal Hosoya polynomial of line graphs.
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Gaftan, Awni M., Akram S. Mohammed, and Osama H. Subhi. "Cryptography by Using"Hosoya"Polynomials for"Graphs Groups of Integer Modulen and"Dihedral Groups with'Immersion"Property." Ibn AL- Haitham Journal For Pure and Applied Science 31, no. 3 (2018): 151. http://dx.doi.org/10.30526/31.3.2008.

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In this paper we used Hosoya polynomial ofgroupgraphs Z1,...,Z26 after representing each group as graph and using Dihedral group to"encrypt the plain texts with the immersion property which provided Hosoya polynomial to immerse the cipher text in another"cipher text to become very"difficult to solve.
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Book chapters on the topic "Hosoya polynomial"

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Shivaram, K. T., H. R. Jyothi, H. T. Prakash, and K. Lekhana. "Numerical approach for solving boundary value problems using tree-based hosoya polynomial and galerkin weighted residual method." In Advances in Electrical and Computer Technologies. CRC Press, 2025. https://doi.org/10.1201/9781003515470-97.

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Ussin, Shazliyanna, Jumat Sulaiman, Mohammad Khatim Hasan, and Samsul Ariffin Abdul Karim. "High—Order Hosoya Polynomials with Collocation Approach for the Solution of Two—Point Boundary Value Problems." In Studies in Systems, Decision and Control. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-79606-8_5.

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Žerovnik, Janez. "The Hosoya Polynomial of Double Weighted Graphs." In Ljubljana - Leoben Graph Theory Seminar: Maribor, 13.-15. September, 2017 Book of Abstracts. University of Maribor Press, 2017. http://dx.doi.org/10.18690/978-961-286-113-1.22.

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Conference papers on the topic "Hosoya polynomial"

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Salman, Nawar S., та Mahera R. Qasem. "Hosoya-Polynomial Of Sum Graph Of The Group Z2τπ". У 2024 International Congress on Human-Computer Interaction, Optimization and Robotic Applications (HORA). IEEE, 2024. http://dx.doi.org/10.1109/hora61326.2024.10550892.

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