222 citations · 360 across the 7 of their papers we have counts for
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Packing dimers on lattices
Yong Kong
We use computational method to investigate the number of ways to pack dimers on \emph{odd-by-odd} lattices. In this case, there is always a single vacancy in the lattices. We show…
Exact asymptotics of monomer-dimer model on rectangular semi-infinite lattices
Yong Kong
By using the asymptotic theory of Pemantle and Wilson, exact asymptotic expansions of the free energy of the monomer-dimer model on rectangular lattices in terms…
Monomer-dimer model in two-dimensional rectangular lattices with fixed dimer density
Yong Kong
The classical monomer-dimer model in two-dimensional lattices has been shown to belong to the \emph{``#P-complete''} class, which indicates the problem is computationally ``intract…
Logarithmic corrections in the free energy of monomer-dimer model on plane lattices with free boundaries
Yong Kong
Using exact computations we study the classical hard-core monomer-dimer models on m x n plane lattice strips with free boundaries. For an arbitrary number v of monomers (or vacanci…