MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  An overview of domino and lozenge tilings (1995) [1 citations — 1 self]

Download:
pdf | ps
by Nicolau C. Saldanha, Carlos Tomei
Resenhas IME-USP
http://w3.impa.br/~nicolau/papers/resenhas.ps.gz
Add To MetaCart

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