𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Coherence and Enumeration of Tilings of 3-Zonotopes

✍ Scribed by G. D. Bailey

Book ID
105746661
Publisher
Springer
Year
1999
Tongue
English
Weight
343 KB
Volume
22
Category
Article
ISSN
0179-5376

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Enumeration of Lozenge Tilings of Punctu
Enumeration of Lozenge Tilings of Punctured Hexagons
✍ Mihai Ciucu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 232 KB

We present a combinatorial solution to the problem of determining the number of lozenge tilings of a hexagon with sides a, b+1, b, a+1, b, b+1, with the central unit triangle removed. For a=b, this settles an open problem posed by Propp [7].

Enumeration of Lozenge Tilings of Hexago
Enumeration of Lozenge Tilings of Hexagons with Cut-Off Corners
✍ Mihai Ciucu; Christian Krattenthaler πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 299 KB

Motivated by the enumeration of a class of plane partitions studied by Proctor and by considerations about symmetry classes of plane partitions, we consider the problem of enumerating lozenge tilings of a hexagon with ''maximal staircases'' removed from some of its vertices. The case of one vertex c

Enumeration of Lozenge Tilings of Hexago
Enumeration of Lozenge Tilings of Hexagons with a Central Triangular Hole
✍ M. Ciucu; T. EisenkΓΆlbl; C. Krattenthaler; D. Zare πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 789 KB

We deal with unweighted and weighted enumerations of lozenge tilings of a hexagon with side lengths a, b+m, c, a+m, b, c+m, where an equilateral triangle of side length m has been removed from the center. We give closed formulas for the plain enumeration and for a certain (&1)-enumeration of these l