Results 21 to 30 of about 1,818 (187)
On the Palindromic Hosoya Polynomial of Trees
MATCH Communications in Mathematical and in Computer Chemistry, 2022 A graph $G$ on $n$ vertices of diameter $D$ is called $H$-palindromic if $ (G,k) = (G,D-k)$ for all $k=0, 1, \dots, \left \lfloor{\frac{D}{2}}\right \rfloor$, where $ (G,k)$ is the number of unordered pairs of vertices at distance $k$. Quantities $ (G,k)$ form coefficients of the Hosoya polynomial.
Badulin, Dmitry +2 more
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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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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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A New Graphical Representation of the Old Algebraic Structure
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 The most recent advancements in algebra and graph theory enable us to ask a straightforward question: what practical use does this graph connected with a mathematical system have in the real world? With the use of algebraic approaches, we may now tackle a wide range of graph theory‐related problems.
Muhammad Nadeem +4 more
wiley +1 more source
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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Topological Indices of Total Graph and Zero Divisor Graph of Commutative Ring: A Polynomial Approach
Complexity, Volume 2023, Issue 1, 2023., 2023 The algebraic polynomial plays a significant role in mathematical chemistry to compute the exact expressions of distance‐based, degree‐distance‐based, and degree‐based topological indices. The topological index is utilized as a significant tool in the study of the quantitative structure activity relationship (QSAR) and quantitative structures property ...
Sourav Mondal +4 more
wiley +1 more source
Terminal Hosoya Polynomial of Line Graphs
Journal of Discrete Mathematics, 2013 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.
Ramane, H. S. +3 more
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Computing the Entropy Measures for the Line Graphs of Some Chemical Networks
Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022 Chemical Graph entropy plays a significant role to measure the complexity of chemical structures. It has explicit chemical uses in chemistry, biology, and information sciences. A molecular structure of a compound consists of many atoms. Especially, the hydrocarbons is a chemical compound that consists of carbon and hydrogen atoms.
Muhammad Farhan Hanif +4 more
wiley +1 more source
Hosoya polynomials under gated amalgamations
Discrete Applied Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Shoujun, Zhang, Heping
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2018 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
Awni M. Gaftan +2 more
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