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Hosoya index

The Hosoya index, also known as the Z index, of a graph is the total number of matchings in it. The Hosoya index is always at least one, because the… 
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Related topics

Related topics

15 relations

Broader (2)

CheminformaticsMathematical chemistry
Clique-widthFKT algorithmFibonacci cubeGraph (discrete mathematics)

Papers overview

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2019
2019
Taiwan salmon or salmon in Taiwan? Celebrating the 100th anniversary of the discovery of Formosa landlocked salmon
Formosa landlocked salmon (FLS), Oncorhynchus formosanus, is a Critically Endangered species (IUCN Red List, Kottelat 1996… 
2015
2015
TiO2-Impregnated Porous Silica Tube and Its Application for Compact Air- and Water-Purification Units
A simple, convenient, reusable, and inexpensive air- and water-purification unit including a one-end sealed porous amorphous… 
2012
2012
The smallest Hosoya index of unicyclic graphs with given diameter
The Hosoya index of a (molecular) graph is deflned as the total number of the matchings, including the empty edge set, of this… 
2012
2012
Ordering of Hosoya indices for unicyclic Hückel graphs
2012
2012
On the Merrifield-Simmons index and Hosoya index of bicyclic graphs with a given girth
For a graph G, the Merrifield-Simmons index i(G) and the Hosoya index z(G) are defined as the total number of independent sets… 
2011
2011
Computing of Some Topological Indices of Corona Product Graphs
Let G = (V, E) be a simple graph. In this paper, we supply exact formulas for the Wiener, PI, vertex PI, edge Szeged and edge… 
2010
2010
Sharp Lower Bound for the Total Number of Matchings of Tricyclic Graphs
Let $\mathscr{T}_n$ be the class of tricyclic graphs on $n$ vertices. In this paper, a sharp lower bound for the total number of… 
2010
2010
The extremal θ−graphs with respect to Hosoya index and Merrifield-Simmons index
For a graph G, the Hosoya index and the Merrifield-Simmons index are defined as the total number of its matchings and the total… 
2010
2010
On the Hosoya index of graphs
Let G be a (molecular) graph. The Hosoya index Z(G) of G is defined as the number of subsets of the edge set E(G) in which no two… 
2005
2005
Coulson function and Hosoya index: extension of the relationship to polycyclic graphs and to new types of matching polynomials
AbstractGutman et al. [Chem. Phys. Lett. 355 (2002) 378–382] established a relationship between the Coulson function, $$F(G,x… 
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