Enumeration of Lozenge Tilings of Punctured Hexagons

Enumeration of Lozenge Tilings of Punctured Hexagons
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穿孔六边形菱形拼贴的枚举

DOI:
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发表时间:
1998
期刊:
Journal of combinatorial theory. Series A
影响因子:
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通讯作者:
Mihai Ciucu
Mihai Ciucu
中科院分区:
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文献类型:
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作者:
Mihai Ciucu

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我们提出了一种组合解,用于确定具有边b+1,b,a+1,b,b+1的六边形的菱形平铺数,去掉了中心单位三角形。首先,这解决了proppb[7]提出的一个悬而未决的问题。
We present a combinatorial solution to the problem of determining the number of lozenge tilings of a hexagon with sidesa,b+1,b,a+1,b,b+1, with the central unit triangle removed. Forab, this settles an open problem posed by Propp [7].