25 citations · 114 across the 27 of their papers we have counts for
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math.CO2009★ 1 cited
A bijection theorem for domino tiling with diagonal impurities
Fumihiko Nakano, Taizo Sadahiro
We consider the dimer problem on a non-bipartite graph , where there are two types of dimers one of which we regard impurities. Results of simulations using Markov chain seem to…
math.CO2009★ 1 cited
Elementary properties of circle map sequences
Fumihiko Nakano
We study the combinatorial and structural properties of the circle map sequences. We introduce an embedding procedure which gives a map from the hull(closure of the set of translat…
math.CO2009★ 1 cited
Domino tilings with diagonal impurities
Fumihiko Nakano, Taizo Sadahiro
This paper studies the dimer model on the dual graph of the square-octagon lattice, which can be viewed as the domino tilings with impurities in some sense. In particular, under a…