Enumeration of lozenge tilings of punctured hexagons

DOI10.1006/jcta.1997.2863zbMath0909.05019OpenAlexW1992294562MaRDI QIDQ1269895

Mihai Ciucu

Publication date: 22 March 1999

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/b38e86efc095745c5328a135567d022690a4159e

zbMATH Keywords

matchingsplane partitionshexagon tiling

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items

Tiling enumeration of hexagons with off-central holes, A \(q\)-enumeration of lozenge tilings of a hexagon with three dents, Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole, Enumeration of Lozenge tilings of hexagons with a central triangular hole, Plane partitions of shifted double staircase shape, Lozenge tilings of hexagons with central holes and dents, The number of rhombus tilings of a ``punctured hexagon and the minor summation formula, Lozenge tilings of hexagons with holes on three crossing lines, Enumeration of Lozenge tilings of hexagons with cut-off corners

Cites Work

• Unnamed Item
• Symmetries of plane partitions
• The number of rhombus tilings of a ``punctured hexagon and the minor summation formula
• Minor summation formula of pfaffians and Schur function identities
• The Problem of the Calissons
• Enumeration of perfect matchings in graphs with reflective symmetry