Results 11 to 20 of about 3,633,781 (192)
Hosoya Index of L-Type Polyphenyl Spiders [PDF]
Journal of Chemistry, 2016 The polyphenyl system is composed of n hexagons obtained from two adjacent hexagons that are sticked by a path with two vertices. The Hosoya index of a graph G is defined as the total number of the independent edge sets of G.
Ren Shengzhang, Wu Tingzeng
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On the Hosoya Indices of Bicyclic Graphs with Small Diameter
Journal of Chemistry, 2021 Let G be a graph. The Hosoya index of G, denoted by zG, is defined as the total number of its matchings. The computation of zG is NP-Complete. Wagner and Gutman pointed out that it is difficult to obtain results of the maximum Hosoya index among tree ...
Tingzeng Wu, Yong Yu
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On acyclic systems with minimal Hosoya index [PDF]
Discrete Applied Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hou, Yaoping
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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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Non-commuting graph of the dihedral group determined by Hosoya parameters
Alexandria Engineering Journal, 2022 Hosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer ...
Muhammad Salman +4 more
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The Expected Value of Hosoya Index and Merrifield–Simmons Index in a Random Cyclooctylene Chain
Axioms, 2022 The Hosoya index m(G) and the Merrifield–Simmons index i(G) of a graph G are the number of matchings and the number of independent sets in G. In this paper, we establish exact formulas for the expected value of the Hosoya index and Merrifield–Simmons ...
Yushuang Sun, Xianya Geng
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Power Graphs of Finite Groups Determined by Hosoya Properties
Entropy, 2022 Suppose G is a finite group. The power graph represented by P(G) of G is a graph, whose node set is G, and two different elements are adjacent if and only if one is an integral power of the other. The Hosoya polynomial contains much information regarding
Fawad Ali +4 more
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Computation method of the Hosoya index of primitive coronoid systems
Mathematical Biosciences and Engineering, 2022 <abstract><p>Coronoid systems are natural graph representations of coronoid hydrocarbons associated with benzenoid systems, but they differ in that they contain a hole. The Hosoya index of a graph $ G $ is defined as the total number of independent edge sets, that are called $ k $-matchings in $ G $.</p> <p>The Hosoya index is ...
Mert Sinan Öz +2 more
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Hosoya and Harary Polynomials of Hourglass and Rhombic Benzenoid Systems
Journal 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
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The Merrifield-Simmons Index and Hosoya Index of C(n,k,λ) Graphs [PDF]
Journal of Applied Mathematics, 2012 The Merrifield-Simmons index i(G) of a graph G is defined as the number of subsets of the vertex set, in which any two vertices are nonadjacent, that is, the number of independent vertex sets of G The Hosoya index z(G) of a graph G is defined as the ...
Shaojun Dai, Ruihai Zhang
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