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Nonemptiness problems of Wang tiles with three colors

✍ Scribed by Chen, Hung-Hsun; Hu, Wen-Guei; Lai, De-Jan; Lin, Song-Sun


Book ID
125826747
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
500 KB
Volume
547
Category
Article
ISSN
0304-3975

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Rhombus Tilings of a Hexagon with Three
✍ Theresia EisenkΓΆlbl πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 195 KB

We compute the number of rhombus tilings of a hexagon with sides a, b, c, a, b, c with three fixed tiles touching the border. The particular case a=b=c solves a problem posed by Propp. Our result can also be viewed as the enumeration of plane partitions having a rows and b columns, with largest entr