Domino Tiling Congruence Modulo 4

Details Domino Tiling Congruence Modulo 4 Domino Tiling Congruence Modulo 4

2007-05-09

arxiv.org/abs/0705.1300v2

Mathematics

Combinatorics

final version, to appear in Graphs and Combinatorics

Scientific paper

The number of domino tilings of a region with reflective symmetry across a line is combinatorially shown to depend on the number of domino tilings of particular subregions, modulo 4. This expands upon previous congruency results for domino tilings, modulo 2, and leads to a variety of corollaries, including that the number of domino tilings of a k x 2k rectangle is congruent to 1 mod 4.

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