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On Hosoya Index and Merrifield‐Simmons Index of trees with given domination number

Numerical Methods for Partial Differential Equations, 2020
AbstractThe 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

2012
The 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, 2003
Motivation. 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

2018
The 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, 2022
Bunyamin Şahin
exaly  

Lucas Sequences and the Hosoya Index of Graphs

The Fibonacci Quarterly, 2017
Gábor Nyul, Gabriella Rácz
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Contemplation on the Hosoya indices

Computational and Theoretical Chemistry, 2003
Lemi Türker
exaly  

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