Enumeration of Lozenge Tilings of Punctured Hexagons
Copyright policy )Enumeration of Lozenge Tilings of Punctured Hexagons
The author finds the number of tilings by unit rhombi of a hexagon with sides \(a\), \(b+1\), \(b\), \(a+1\), \(b\), \(b+1\), all angles \(120^\circ\), and with the central unit triangle removed, reducing it to a product of numbers of self-complementary plane partitions [see \textit{R. P. Stanley}, J. Comb. Theory, Ser. A 43, 103-113 (1986; Zbl 0602.05007); and \textit{G. David} and \textit{C. Tomei}, Am. Math. Mon. 96, No. 5, 429-431 (1989; Zbl 0723.05037)].
- Institute for Advanced Study United States
- College of New Jersey United States
plane partitions, Computational Theory and Mathematics, Combinatorial aspects of tessellation and tiling problems, Exact enumeration problems, generating functions, Discrete Mathematics and Combinatorics, matchings, hexagon tiling, Theoretical Computer Science
plane partitions, Computational Theory and Mathematics, Combinatorial aspects of tessellation and tiling problems, Exact enumeration problems, generating functions, Discrete Mathematics and Combinatorics, matchings, hexagon tiling, Theoretical Computer Science
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