Identifier
Identifier
Values
([],2) generating graphics... => 0
([(0,1)],2) generating graphics... => 1
([],3) generating graphics... => 0
([(1,2)],3) generating graphics... => 1
([(0,1),(0,2)],3) generating graphics... => 2
([(0,2),(2,1)],3) generating graphics... => 2
([(0,2),(1,2)],3) generating graphics... => 2
([],4) generating graphics... => 0
([(2,3)],4) generating graphics... => 1
([(1,2),(1,3)],4) generating graphics... => 2
([(0,1),(0,2),(0,3)],4) generating graphics... => 3
([(0,2),(0,3),(3,1)],4) generating graphics... => 3
([(0,1),(0,2),(1,3),(2,3)],4) generating graphics... => 4
([(1,2),(2,3)],4) generating graphics... => 2
([(0,3),(3,1),(3,2)],4) generating graphics... => 3
([(1,3),(2,3)],4) generating graphics... => 2
([(0,3),(1,3),(3,2)],4) generating graphics... => 3
([(0,3),(1,3),(2,3)],4) generating graphics... => 3
([(0,3),(1,2)],4) generating graphics... => 2
([(0,3),(1,2),(1,3)],4) generating graphics... => 3
([(0,2),(0,3),(1,2),(1,3)],4) generating graphics... => 4
([(0,3),(2,1),(3,2)],4) generating graphics... => 3
([(0,3),(1,2),(2,3)],4) generating graphics... => 3
([],5) generating graphics... => 0
([(3,4)],5) generating graphics... => 1
([(2,3),(2,4)],5) generating graphics... => 2
([(1,2),(1,3),(1,4)],5) generating graphics... => 3
([(0,1),(0,2),(0,3),(0,4)],5) generating graphics... => 4
([(0,2),(0,3),(0,4),(4,1)],5) generating graphics... => 4
([(0,1),(0,2),(0,3),(2,4),(3,4)],5) generating graphics... => 5
([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) generating graphics... => 6
([(1,3),(1,4),(4,2)],5) generating graphics... => 3
([(0,3),(0,4),(4,1),(4,2)],5) generating graphics... => 4
([(1,2),(1,3),(2,4),(3,4)],5) generating graphics... => 4
([(0,2),(0,3),(2,4),(3,4),(4,1)],5) generating graphics... => 5
([(0,3),(0,4),(3,2),(4,1)],5) generating graphics... => 4
([(0,2),(0,3),(2,4),(3,1),(3,4)],5) generating graphics... => 5
([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 6
([(2,3),(3,4)],5) generating graphics... => 2
([(1,4),(4,2),(4,3)],5) generating graphics... => 3
([(0,4),(4,1),(4,2),(4,3)],5) generating graphics... => 4
([(2,4),(3,4)],5) generating graphics... => 2
([(1,4),(2,4),(4,3)],5) generating graphics... => 3
([(0,4),(1,4),(4,2),(4,3)],5) generating graphics... => 4
([(1,4),(2,4),(3,4)],5) generating graphics... => 3
([(0,4),(1,4),(2,4),(4,3)],5) generating graphics... => 4
([(0,4),(1,4),(2,4),(3,4)],5) generating graphics... => 4
([(0,4),(1,4),(2,3)],5) generating graphics... => 3
([(0,4),(1,3),(2,3),(2,4)],5) generating graphics... => 4
([(0,4),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 5
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 6
([(0,4),(1,4),(2,3),(4,2)],5) generating graphics... => 4
([(0,4),(1,3),(2,3),(3,4)],5) generating graphics... => 4
([(0,4),(1,4),(2,3),(2,4)],5) generating graphics... => 4
([(0,4),(1,4),(2,3),(3,4)],5) generating graphics... => 4
([(1,4),(2,3)],5) generating graphics... => 2
([(1,4),(2,3),(2,4)],5) generating graphics... => 3
([(0,4),(1,2),(1,4),(2,3)],5) generating graphics... => 4
([(0,3),(1,2),(1,3),(2,4),(3,4)],5) generating graphics... => 5
([(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 4
([(0,3),(0,4),(1,3),(1,4),(4,2)],5) generating graphics... => 5
([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) generating graphics... => 6
([(0,4),(1,2),(1,4),(4,3)],5) generating graphics... => 4
([(0,4),(1,2),(1,3)],5) generating graphics... => 3
([(0,4),(1,2),(1,3),(1,4)],5) generating graphics... => 4
([(0,2),(0,4),(3,1),(4,3)],5) generating graphics... => 4
([(0,4),(1,2),(1,3),(3,4)],5) generating graphics... => 4
([(0,2),(0,3),(1,4),(2,4),(3,1)],5) generating graphics... => 5
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) generating graphics... => 5
([(0,3),(0,4),(1,2),(1,4)],5) generating graphics... => 4
([(0,3),(0,4),(1,2),(1,3),(1,4)],5) generating graphics... => 5
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) generating graphics... => 6
([(0,3),(0,4),(1,2),(1,3),(2,4)],5) generating graphics... => 5
([(0,3),(1,2),(1,4),(3,4)],5) generating graphics... => 4
([(0,3),(0,4),(1,2),(2,3),(2,4)],5) generating graphics... => 5
([(1,4),(3,2),(4,3)],5) generating graphics... => 3
([(0,3),(3,4),(4,1),(4,2)],5) generating graphics... => 4
([(1,4),(2,3),(3,4)],5) generating graphics... => 3
([(0,4),(1,2),(2,4),(4,3)],5) generating graphics... => 4
([(0,3),(1,4),(4,2)],5) generating graphics... => 3
([(0,4),(3,2),(4,1),(4,3)],5) generating graphics... => 4
([(0,4),(1,2),(2,3),(2,4)],5) generating graphics... => 4
([(0,4),(2,3),(3,1),(4,2)],5) generating graphics... => 4
([(0,3),(1,2),(2,4),(3,4)],5) generating graphics... => 4
([(0,4),(1,2),(2,3),(3,4)],5) generating graphics... => 4
([(0,3),(1,4),(2,4),(3,1),(3,2)],5) generating graphics... => 5
click to show generating function       
Description
The number of cover relations in a poset.
Equivalently, this is also the number of edges in the Hasse diagram [1].
References
Code
def statistic(P):
    return len(P.cover_relations())

Created
Dec 13, 2015 at 01:36 by Daniel Shira
Updated
Dec 13, 2015 at 07:44 by Christian Stump