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\(q\)-enumeration of alternating sign matrices with exactly one \(-1\)

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Publication:1849982
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DOI10.1016/S0012-365X(02)00346-1zbMath1009.05010OpenAlexW2058470877MaRDI QIDQ1849982

Pierre Lalonde

Publication date: 2 December 2002

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(02)00346-1


zbMATH Keywords

generating functionlattice pathsdescending plane partition


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)


Related Items (6)

Extreme diagonally and antidiagonally symmetric alternating sign matrices of odd order ⋮ Lattice paths and the antiautomorphism of the poset of descending plane partitions ⋮ Multiply-refined enumeration of alternating sign matrices ⋮ On the weighted enumeration of alternating sign matrices and descending plane partitions ⋮ A new determinant for the \(Q\)-enumeration of alternating sign matrices ⋮ Alternating sign matrices with one \(-1\) under vertical reflection




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