Proof of two conjectures of Ciucu and Krattenthaler on the enumeration of lozenge tilings of hexagons with cut off corners

Author:

Ciucu Mihai,Fischer Ilse

Funder

National Science Foundation

FWF

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference20 articles.

1. Plane partitions (III): the weak Macdonald conjecture;Andrews;Invent. Math.,1979

2. Special Functions;Andrews,1999

3. Enumeration of perfect matchings in graphs with reflective symmetry;Ciucu;J. Combin. Theory Ser. A,1997

4. Enumeration of lozenge tilings of hexagons with cut off corners;Ciucu;J. Combin. Theory Ser. A,2002

5. A triangular gap of size two in a sea of dimers on a 60° angle;Ciucu;J. Phys. A,2012

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1. Fully Complementary Higher Dimensional Partitions;Annals of Combinatorics;2024-04-06

2. Problems in the enumeration of tilings;Proceedings of Symposia in Pure Mathematics;2024

3. Lozenge tilings of hexagons with holes on three crossing lines;Advances in Mathematics;2022-03

4. Binomial determinants for tiling problems yield to the holonomic ansatz;European Journal of Combinatorics;2022-01

5. Lectures on Random Lozenge Tilings;CAM ST AD M;2021-08-31

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