38 citations · 129 across the 36 of their papers we have counts for
4 papers · 2 filters
Lozenge tilings of hexagons with arbitrary dents
Mihai Ciucu, Ilse Fischer
Eisenk"olbl gave a formula for the number of lozenge tilings of a hexagon on the triangular lattice with three unit triangles removed from along alternating sides. In earlier work,…
A generalization of Kuo condensation
Mihai Ciucu
Kuo introduced his 4-point condensation in 2003 for bipartite planar graphs. In 2006 Kuo generalized this 4-point condensation to planar graphs that are not necessarily bipartite.…
A factorization theorem for lozenge tilings of a hexagon with triangular holes
Mihai Ciucu, Christian Krattenthaler
In this paper we present a combinatorial generalization of the fact that the number of plane partitions that fit in a box is equal to the number of such plane…
Proof of Blum's conjecture on hexagonal dungeons
Mihai Ciucu, Tri Lai
Matt Blum conjectured that the number of tilings of the Hexagonal Dungeon of sides (where ) is (J. P…