Alternating sign matrices and tournaments

DOI10.1006/aama.2001.0737zbMath0990.05001arXivmath/0008029OpenAlexW2006890438WikidataQ57917947 ScholiaQ57917947MaRDI QIDQ5956769

Robin J. Chapman

Publication date: 8 August 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008029

zbMATH Keywords

tournamentalternating sign matrixsix vertex modelsquare ice modelbijective proofcomplete monotone triangle

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Directed graphs (digraphs), tournaments (05C20)

Related Items

Bijective proofs of shifted tableau and alternating sign matrix identities ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ Three alternating sign matrix identities in search of bijective proofs

Cites Work

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• Determinants and alternating sign matrices
• Alternating-sign matrices and domino tilings. I
• A complementation theorem for perfect matchings of graphs having a cellular completion
• Three alternating sign matrix identities in search of bijective proofs