On acyclic conjugated molecules with minimal energies
Discrete Applied Mathematics
Trees with m-matchings and the fourth and fifth minimal Hosoya index
Computers & Mathematics with Applications
The largest Hosoya index of (n,n+1)-graphs
Computers & Mathematics with Applications
Note: On extremal unicyclic molecular graphs with maximal Hosoya index
Discrete Applied Mathematics
On the extremal Merrifield-Simmons index and Hosoya index of quasi-tree graphs
Discrete Applied Mathematics
Trees with minimal Laplacian coefficients
Computers & Mathematics with Applications
Enumeration of matchings in families of self-similar graphs
Discrete Applied Mathematics
Distance spectral radius of trees with given matching number
Discrete Applied Mathematics
Maxima and Minima of the Hosoya Index and the Merrifield-Simmons Index
Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
The number of independent sets of unicyclic graphs with given matching number
Discrete Applied Mathematics
The smallest Merrifield-Simmons index of (n,n+1)-graphs
Mathematical and Computer Modelling: An International Journal
Minimizing a class of unicyclic graphs by means of Hosoya index
Mathematical and Computer Modelling: An International Journal
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The Hosoya index of a graph is defined as the total number of independent edge subsets of the graph. In this note, we characterize the trees with a given size of matching and having minimal and second minimal Hosoya index.