- FindStat

Identifier

St000181: Posets ⟶ ℤ

Values

=>
                            Cc0014;cc-rep
                            
                            
                            

                        ([],1)=>1
([],2)=>2
([(0,1)],2)=>1
([],3)=>3
([(1,2)],3)=>2
([(0,1),(0,2)],3)=>1
([(0,2),(2,1)],3)=>1
([(0,2),(1,2)],3)=>1
([],4)=>4
([(2,3)],4)=>3
([(1,2),(1,3)],4)=>2
([(0,1),(0,2),(0,3)],4)=>1
([(0,2),(0,3),(3,1)],4)=>1
([(0,1),(0,2),(1,3),(2,3)],4)=>1
([(1,2),(2,3)],4)=>2
([(0,3),(3,1),(3,2)],4)=>1
([(1,3),(2,3)],4)=>2
([(0,3),(1,3),(3,2)],4)=>1
([(0,3),(1,3),(2,3)],4)=>1
([(0,3),(1,2)],4)=>2
([(0,3),(1,2),(1,3)],4)=>1
([(0,2),(0,3),(1,2),(1,3)],4)=>1
([(0,3),(2,1),(3,2)],4)=>1
([(0,3),(1,2),(2,3)],4)=>1
([],5)=>5
([(3,4)],5)=>4
([(2,3),(2,4)],5)=>3
([(1,2),(1,3),(1,4)],5)=>2
([(0,1),(0,2),(0,3),(0,4)],5)=>1
([(0,2),(0,3),(0,4),(4,1)],5)=>1
([(0,1),(0,2),(0,3),(2,4),(3,4)],5)=>1
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)=>1
([(1,3),(1,4),(4,2)],5)=>2
([(0,3),(0,4),(4,1),(4,2)],5)=>1
([(1,2),(1,3),(2,4),(3,4)],5)=>2
([(0,2),(0,3),(2,4),(3,4),(4,1)],5)=>1
([(0,3),(0,4),(3,2),(4,1)],5)=>1
([(0,2),(0,3),(2,4),(3,1),(3,4)],5)=>1
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5)=>1
([(2,3),(3,4)],5)=>3
([(1,4),(4,2),(4,3)],5)=>2
([(0,4),(4,1),(4,2),(4,3)],5)=>1
([(2,4),(3,4)],5)=>3
([(1,4),(2,4),(4,3)],5)=>2
([(0,4),(1,4),(4,2),(4,3)],5)=>1
([(1,4),(2,4),(3,4)],5)=>2
([(0,4),(1,4),(2,4),(4,3)],5)=>1
([(0,4),(1,4),(2,4),(3,4)],5)=>1
([(0,4),(1,4),(2,3)],5)=>2
([(0,4),(1,3),(2,3),(2,4)],5)=>1
([(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>1
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>1
([(0,4),(1,4),(2,3),(4,2)],5)=>1
([(0,4),(1,3),(2,3),(3,4)],5)=>1
([(0,4),(1,4),(2,3),(2,4)],5)=>1
([(0,4),(1,4),(2,3),(3,4)],5)=>1
([(1,4),(2,3)],5)=>3
([(1,4),(2,3),(2,4)],5)=>2
([(0,4),(1,2),(1,4),(2,3)],5)=>1
([(0,3),(1,2),(1,3),(2,4),(3,4)],5)=>1
([(1,3),(1,4),(2,3),(2,4)],5)=>2
([(0,3),(0,4),(1,3),(1,4),(4,2)],5)=>1
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5)=>1
([(0,4),(1,2),(1,4),(4,3)],5)=>1
([(0,4),(1,2),(1,3)],5)=>2
([(0,4),(1,2),(1,3),(1,4)],5)=>1
([(0,2),(0,4),(3,1),(4,3)],5)=>1
([(0,4),(1,2),(1,3),(3,4)],5)=>1
([(0,2),(0,3),(1,4),(2,4),(3,1)],5)=>1
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>1
([(0,3),(0,4),(1,2),(1,4)],5)=>1
([(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>1
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5)=>1
([(0,3),(0,4),(1,2),(1,3),(2,4)],5)=>1
([(0,3),(1,2),(1,4),(3,4)],5)=>1
([(0,3),(0,4),(1,2),(2,3),(2,4)],5)=>1
([(1,4),(3,2),(4,3)],5)=>2
([(0,3),(3,4),(4,1),(4,2)],5)=>1
([(1,4),(2,3),(3,4)],5)=>2
([(0,4),(1,2),(2,4),(4,3)],5)=>1
([(0,3),(1,4),(4,2)],5)=>2
([(0,4),(3,2),(4,1),(4,3)],5)=>1
([(0,4),(1,2),(2,3),(2,4)],5)=>1
([(0,4),(2,3),(3,1),(4,2)],5)=>1
([(0,3),(1,2),(2,4),(3,4)],5)=>1
([(0,4),(1,2),(2,3),(3,4)],5)=>1
([(0,3),(1,4),(2,4),(3,1),(3,2)],5)=>1
                    

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Description

The number of connected components of the Hasse diagram for the poset.

Code

def statistic(P):
    return P.hasse_diagram().connected_components_number()

Created

May 01, 2014 at 08:56 by Stephen Anderson

Updated

Mar 31, 2019 at 21:57 by Martin Rubey