Tiling Generating Functions of Halved Hexagons and Quartered Hexagons

被引：1
|
作者：
Lai, Tri [1 ]
Rohatgi, Ranjan [2 ]
机构：
[1] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
[2] St Marys Coll, Dept Math & Comp Sci, Notre Dame, IN 46556 USA
来源：
ANNALS OF COMBINATORICS | 2021年 / 25卷 / 02期
关键词：
Perfect matchings; plane partitions; lozenge tilings; shuffling phenomenon; LOZENGE TILINGS; Q-ENUMERATION; TRIANGLES; MATCHINGS;
D O I：
10.1007/s00026-021-00537-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove exact product formulas for the tiling generating functions of various halved hexagons and quartered hexagons with defects on boundary. Our results generalize the previous work of the first author and the work of Ciucu.
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页码：471 / 493
页数：23
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