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1. Definition & Example

The five unlabelled posets on 3 elements with their canonical labelling

http://www.findstat.org/Graphics/api/Cc0014_0_([],3).png

http://www.findstat.org/Graphics/api/Cc0014_0_([(1,2)],3).png

http://www.findstat.org/Graphics/api/Cc0014_0_([(0,1),(0,2)],3).png

http://www.findstat.org/Graphics/api/Cc0014_0_([(0,2),(2,1)],3).png

http://www.findstat.org/Graphics/api/Cc0014_0_([(0,2),(1,2)],3).png

([],3)

([(1,2)],3)

([(0,1),(0,2)],3)

([(0,2),(2,1)],3)

([(0,2),(1,2)],3)

2. FindStat representation and coverage

3. Additional information

3.1. Notations

3.2. Extensions of Posets

4. References

[Bru10]   R. Brualdi, Partial orders and equivalence relations, Combinatorics Fifth Edition (2010).

[Sta10]   R. Stanley, Enumerative Combinatorics Vol 1, Second edition, Cambridge Studies in Advanced Mathematics (2011).

[Wei14]   E. Weisstein, Cover relation, Math World (2014).

5. Sage examples


CategoryCombinatorialCollection