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math.CO1997
The number of centered lozenge tilings of a symmetric hexagon
M. Ciucu, C. Krattenthaler
Propp conjectured that the number of lozenge tilings of a semiregular hexagon of sides , and which contain the central unit rhombus is precisely one third of the…
math.CO1997
Enumeration of rhombus tilings of a hexagon which contain a fixed rhombus on its symmetry axis
Mihai Ciucu, Markus Fulmek, Christian Krattenthaler
We compute the number of rhombus tilings of a hexagon with sides , which contain a fixed rhombus on the symmetry axis. A special case solves a problem posed by Jim Pro…