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Identifier
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