Enumeration of Alternating Sign Matrices of Even Size (Quasi-)Invariant under a Quarter-Turn Rotation

  • Jean-Christophe Aval
  • Philippe Duchon
DOI: https://doi.org/10.37236/323

Abstract

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.

Published
2010-03-29
Issue
Volume 17 (2010)
Article Number
R51