INTERSECTING DOMINO TILINGS

被引:0
|
作者
Butler, Steve [1 ]
Horn, Paul [2 ]
Tressler, Eric [3 ]
机构
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
[2] Emory Univ, Math & Comp Sci, Atlanta, GA 30322 USA
[3] Univ Calif San Diego, Dept Math, San Diego, CA 92093 USA
来源
FIBONACCI QUARTERLY | 2010年 / 48卷 / 02期
关键词
D O I
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this note we consider an Erdos-Ko-Rado analog of tilings. Namely, given two tilings of a common region we say that they intersect if they have at least one tile in the same location. We show that for a domino tiling of the 2 x n strip that the largest collection of tilings which pairwise intersect are counted by the Fibonacci numbers. We also solve the problem for tilings of the 3x(2n) strip using dominoes.
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页码:114 / 120
页数:7
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