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On Hosoya Index and Merrifield‐Simmons Index of trees with given domination number
Numerical Methods for Partial Differential Equations, 2020AbstractThe Hosoya index and the Merrifield‐Simmons index are two important molecular descriptors in chemical graph theory. The Hosoya index is defined as the total number of matchings of the graph and the Merrifield‐Simmons index is defined as the total number of independent sets of the graph.
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Hosoya index of bridge and splice graphs
2012The Hosoya index of a graph is defined as the total number of the matchings (including the empty edge set) of the graph. In this paper, explicit formulas are given for the Hosoya index of bridge and splice graphs.
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On the Hosoya Z index of general graphs
Internet electronic journal of molecular design, 2003Motivation. The Z-counting polynomial and the Z- index, proposed by Haruo Hosoya in 1971, have been initially applied only to saturated hydrocarbons. Our aim in this report was to extend these quantities to unsaturated systems and heterosystems and to investigate the behavior of the Z-index in regard to their structural characteristics such as size ...
Milicevic, Ante +3 more
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On the Hosoya index for the molecular graphs of helicenes
2018The matching of an undirected graph G=(V,E) is a subset M of E such that no two edges of M are adjacent in G. The Hosoya index of a graph G is given by the number of all matching of G . This number is one of the most interesting topological index in chemistry.
Seibert, Jaroslav, Zahrádka, Jaromír
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On Hosoya Index and Merrifield-Simmons Index of trees with given domination number
Numerical Methods for Partial Differential Equations, 2022Bunyamin Şahin
exaly
Lucas Sequences and the Hosoya Index of Graphs
The Fibonacci Quarterly, 2017Gábor Nyul, Gabriella Rácz
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On acyclic molecular graphs with maximal Hosoya index, energy, and short diameter
Journal of Mathematical Chemistry, 2006Jianping Ou
exaly

