Geodesic
Enumeration of Lozenge tilings of halved hexagons with a boundary defect
Ranjan Rohatgi1
1Indiana University
The electronic journal of combinatorics, Tome 22 (2015) no. 4
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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. The result also extends work of Ciucu and Fischer. By applying the factorization theorem of Ciucu, we are also able to generalize a special case of MacMahon’s boxed plane partition formula.
DOI : 10.37236/5199
Classification : 05C30, 05B45, 52C20
Mots-clés : tilings, perfect matchings

Ranjan Rohatgi  1

1 Indiana University 
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     author = {Ranjan Rohatgi},
     title = {Enumeration of {Lozenge} tilings of halved hexagons with a boundary defect},
     journal = {The electronic journal of combinatorics},
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     doi = {10.37236/5199},
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Ranjan Rohatgi. Enumeration of Lozenge tilings of halved hexagons with a boundary defect. The electronic journal of combinatorics, Tome 22 (2015) no. 4. doi: 10.37236/5199

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