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The enumeration of several classes of hexagonal systems

✍ Scribed by Zhang Fuji; Guo Xiaofeng

Book ID
110619995
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1999
Tongue
English
Weight
817 KB
Volume
15
Category
Article
ISSN
0168-9673

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✍ Mihai Ciucu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 232 KB

We present a combinatorial solution to the problem of determining the number of lozenge tilings of a hexagon with sides a, b+1, b, a+1, b, b+1, with the central unit triangle removed. For a=b, this settles an open problem posed by Propp [7].