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Trimer covers in the triangular grid: twenty mostly open problems - MaRDI portal

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Trimer covers in the triangular grid: twenty mostly open problems

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Publication:6506063

arXiv2206.06472MaRDI QIDQ6506063

Author name not available (Why is that?)


Abstract: Physicists have studied the asymptotics of the trimer model on the triangular lattice but have not given exact results for finite subgraphs of the triangular lattice analogous to known solutions of the dimer model on finite subgraphs of various lattices. Here I introduce finite subgraphs of the triangular lattice that will be of interest to enumerative combinatorialists inasmuch as the precise number of trimer covers appears to be given by exact formulas in many cases.





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