Geodesic
Rhombus tilings of a hexagon with two triangles missing on the symmetry axis
The electronic journal of combinatorics, Tome 6 (1999)
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We compute the number of rhombus tilings of a hexagon with sides $n$, $n$, $N$, $n$, $n$, $N$, where two triangles on the symmetry axis touching in one vertex are removed. The case of the common vertex being the center of the hexagon solves a problem posed by Propp.
DOI : 10.37236/1462
Classification : 05A15, 05A19, 05B45, 33C20, 52C20
Mots-clés : lozenge tilings, plane partitions, determinants, nonintersecting lattice paths 
@article{10_37236_1462,
     author = {Theresia Eisenk\"olbl},
     title = {Rhombus tilings of a hexagon with two triangles missing on the symmetry axis},
     journal = {The electronic journal of combinatorics},
     year = {1999},
     volume = {6},
     doi = {10.37236/1462},
     zbl = {0921.05002},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1462/}
}
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Theresia Eisenkölbl. Rhombus tilings of a hexagon with two triangles missing on the symmetry axis. The electronic journal of combinatorics, Tome 6 (1999). doi: 10.37236/1462

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