Geodesic
Enumeration of alternating sign matrices of even size (quasi-)Invariant under a quarter-turn rotation
The electronic journal of combinatorics, Tome 17 (2010)
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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.
DOI : 10.37236/323
Classification : 05A15, 05A99
Mots-clés : enumeration formula 
@article{10_37236_323,
     author = {Jean-Christophe Aval and Philippe Duchon},
     title = {Enumeration of alternating sign matrices of even size {(quasi-)Invariant} under a quarter-turn rotation},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/323},
     zbl = {1215.05009},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/323/}
}
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Jean-Christophe Aval; Philippe Duchon. Enumeration of alternating sign matrices of even size (quasi-)Invariant under a quarter-turn rotation. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/323

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