The Hillman-Grassl correspondence and the enumeration of reverse plane partitions

DOI10.1016/0097-3165(81)90041-8zbMath0474.05008OpenAlexW1988440897MaRDI QIDQ1159199

Emden R. Gansner

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0097-3165(81)90041-8

zbMATH Keywords

generating functionsreverse plane partitionsHillman-Grassl correspondence

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)

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Cites Work

• Matrix correspondences of plane partitions
• Reverse plane partitions and tableau hook numbers
• Functions on tableau frames
• Four correspondences between graphs and generalized Young tableaux
• Permutations, matrices, and generalized Young tableaux
• Enumeration of plane partitions
• Longest Increasing and Decreasing Subsequences
• Theory and Application of Plane Partitions. Part 2
• Ordered structures and partitions
• The Hook Graphs of the Symmetric Group
• A combinatorial problem
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