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

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

2009-10-16

arxiv.org/abs/0910.3047v1

Mathematics

Combinatorics

Scientific paper

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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