38 citations · 129 across the 36 of their papers we have counts for
5 papers · 2 filters
Lozenge tilings of hexagons with removed core and satellites
Mihai Ciucu, Ilse Fischer
We consider regions obtained from 120 degree rotationally invariant hexagons by removing a core and three equal satellites (all equilateral triangles) so that the resulting region…
Tilings of hexagons with a removed triad of bowties
Mihai Ciucu, Tri Lai, Ranjan Rohatgi
In this paper we consider arbitrary hexagons on the triangular lattice with three arbitrary bowtie-shaped holes, whose centers form an equilateral triangle. The number of lozenge t…
Centrally symmetric tilings of fern-cored hexagons
Mihai Ciucu
In this paper we enumerate the centrally symmetric lozenge tilings of a hexagon with a fern removed from its center. The proof is based on a variant of Kuo's graphical condensation…
Symmetries of shamrocks IV: The self-complementary case
Mihai Ciucu
In this paper we enumerate the centrally symmetric lozenge tilings of a hexagon with a shamrock removed from its center. Our proof is based on a variant of Kuo's graphical condensa…
Correlation of a macroscopic dent in a wedge with mixed boundary conditions
Mihai Ciucu
As part of our ongoing work on the enumeration of symmetry classes of lozenge tilings of hexagons with certain four-lobed structures removed from their center, we consider the case…