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Enumeration of alternating sign matrices of even size (quasi-)Invariant under a quarter-turn rotation - MaRDI portal

Enumeration of alternating sign matrices of even size (quasi-)Invariant under a quarter-turn rotation (Q976695)

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scientific article; zbMATH DE number 5721445
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Enumeration of alternating sign matrices of even size (quasi-)Invariant under a quarter-turn rotation
scientific article; zbMATH DE number 5721445

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    Enumeration of alternating sign matrices of even size (quasi-)Invariant under a quarter-turn rotation (English)
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    16 June 2010
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    Summary: The aim of this work is to enumerate alternating sign matrices (ASM) that are quasi-invariant under a quarter-turn. The enumeration formula (conjectured by Duchon) involves, as a product of three terms, the number of unrestricted ASM's and the number of half-turn symmetric ASM's.
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    enumeration formula
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