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Possible database queries for alternating sign matrices: search your data / browse all statistics / browse all maps

1. Definition & Example

The seven alternating sign matrices of size 3

http://www.findstat.org/Graphics/api/Cc0017_0_[[1,0,0],[0,1,0],[0,0,1]].png

http://www.findstat.org/Graphics/api/Cc0017_0_[[0,1,0],[1,0,0],[0,0,1]].png

http://www.findstat.org/Graphics/api/Cc0017_0_[[1,0,0],[0,0,1],[0,1,0]].png

http://www.findstat.org/Graphics/api/Cc0017_0_[[0,1,0],[1,-1,1],[0,1,0]].png

http://www.findstat.org/Graphics/api/Cc0017_0_[[0,0,1],[1,0,0],[0,1,0]].png

http://www.findstat.org/Graphics/api/Cc0017_0_[[0,1,0],[0,0,1],[1,0,0]].png

http://www.findstat.org/Graphics/api/Cc0017_0_[[0,0,1],[0,1,0],[1,0,0]].png

 [[1,0,0],[0,1,0],[0,0,1]] 

 [[0,1,0],[1,0,0],[0,0,1]] 

 [[1,0,0],[0,0,1],[0,1,0]] 

 [[0,1,0],[1,-1,1],[0,1,0]] 

 [[0,0,1],[1,0,0],[0,1,0]] 

 [[0,1,0],[0,0,1],[1,0,0]] 

 [[0,0,1],[0,1,0],[1,0,0]] 

2. FindStat representation and coverage

3. Additional information

4. References

[Ze92]   D. Zeilberger, Proof of the alternating sign matrix conjecture, Electronic Journal of Combinatorics 3 (1996), R13.

5. Sage examples


CategoryCombinatorialCollection