Enumeration of Lozenge Tilings of Halved Hexagons with a Boundary Defect

[摘要] We generalize a special case of a theorem of Proctor on the enumeration of lozenge tilings of a hexagon with a maximal staircase removed using Kuo’s graphical condensation method. Additionally, we prove a formula for a weighted version of the given region

[学科分类] 离散数学和组合数学

[关键词] tilings;perfect matchings