An overview of domino and lozenge tilings (1995) [1 citations — 1 self]
by Nicolau C. Saldanha, Carlos Tomei
Resenhas IME-USP
http://w3.impa.br/~nicolau/papers/resenhas.ps.gz
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Abstract:
Abstract. We consider tilings of quadriculated regions by dominoes and of triangulated regions by lozenges. We present an overview of results concerning tileability, enumeration and the structure of the space of tilings. 1.
Citations
| 7716 | Computers and Intractability: A Guide to the Theory of NP-Completeness – Garey, Johnson - 1979 |
| 185 | The undecidability of the dominoe problem – Berger - 1966 |
| 84 | Conway’s tiling groups – Thurston - 1990 |
| 82 | Combinatory Analysis – MacMahon - 1918 |
| 67 | The statistics of dimers on a lattice, I. The number of dimer arrangements on a quadratic lattice, Physica 27 – Kasteleyn - 1961 |
| 58 | Tilings with polyominoes and combinatorial group theory – Conway, Lagarias - 1990 |
| 31 | Enumeration of plane partitions – Bender, Knuth - 1972 |
| 31 | The problem of the calissons – David, Tomei - 1989 |
| 8 | Fluxes, Laplacians and Kasteleyn's theorem – Lieb, Loss - 1993 |
| 7 | On the determinant of the adjacency matrix for a planar sublattice – Deift, Tomei - 1983 |
| 1 | Spaces of domino tilings – Romualdo |

