Values
=>
Cc0020;cc-rep
([],1)=>0
([],2)=>0
([(0,1)],2)=>1
([],3)=>0
([(1,2)],3)=>1
([(0,2),(1,2)],3)=>2
([(0,1),(0,2),(1,2)],3)=>2
([],4)=>0
([(2,3)],4)=>1
([(1,3),(2,3)],4)=>2
([(0,3),(1,3),(2,3)],4)=>3
([(0,3),(1,2)],4)=>2
([(0,3),(1,2),(2,3)],4)=>3
([(1,2),(1,3),(2,3)],4)=>2
([(0,3),(1,2),(1,3),(2,3)],4)=>3
([(0,2),(0,3),(1,2),(1,3)],4)=>4
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>4
([],5)=>0
([(3,4)],5)=>1
([(2,4),(3,4)],5)=>2
([(1,4),(2,4),(3,4)],5)=>3
([(0,4),(1,4),(2,4),(3,4)],5)=>4
([(1,4),(2,3)],5)=>2
([(1,4),(2,3),(3,4)],5)=>3
([(0,1),(2,4),(3,4)],5)=>3
([(2,3),(2,4),(3,4)],5)=>2
([(0,4),(1,4),(2,3),(3,4)],5)=>4
([(1,4),(2,3),(2,4),(3,4)],5)=>3
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>4
([(1,3),(1,4),(2,3),(2,4)],5)=>4
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>5
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>4
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>6
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>6
([(0,4),(1,3),(2,3),(2,4)],5)=>4
([(0,1),(2,3),(2,4),(3,4)],5)=>3
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>4
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>4
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>4
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>5
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>5
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>5
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>4
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>5
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>6
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>6
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>6
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>6
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>6
([],6)=>0
([(4,5)],6)=>1
([(3,5),(4,5)],6)=>2
([(2,5),(3,5),(4,5)],6)=>3
([(1,5),(2,5),(3,5),(4,5)],6)=>4
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>5
([(2,5),(3,4)],6)=>2
([(2,5),(3,4),(4,5)],6)=>3
([(1,2),(3,5),(4,5)],6)=>3
([(3,4),(3,5),(4,5)],6)=>2
([(1,5),(2,5),(3,4),(4,5)],6)=>4
([(0,1),(2,5),(3,5),(4,5)],6)=>4
([(2,5),(3,4),(3,5),(4,5)],6)=>3
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>5
([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>4
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>5
([(2,4),(2,5),(3,4),(3,5)],6)=>4
([(0,5),(1,5),(2,4),(3,4)],6)=>4
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>5
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>5
([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>4
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>5
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>6
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>5
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>7
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,5),(1,4),(2,3)],6)=>3
([(1,5),(2,4),(3,4),(3,5)],6)=>4
([(0,1),(2,5),(3,4),(4,5)],6)=>4
([(1,2),(3,4),(3,5),(4,5)],6)=>3
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>5
([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>4
([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>4
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>5
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>4
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>5
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>4
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>6
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>5
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>5
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>5
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>5
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>5
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>5
([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>5
([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>4
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>6
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>5
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>5
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>5
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>6
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>6
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>5
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>4
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>7
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>7
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>7
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>7
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>7
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>6
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>7
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>6
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>6
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>6
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>6
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>7
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>7
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>9
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>9
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>9
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>9
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>4
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>6
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>5
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>5
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>6
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>6
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>7
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6)=>7
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>7
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>7
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>7
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>7
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>8
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>6
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>7
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>9
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>9
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>9
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>8
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>9
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>9
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>9
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Description
The maximum cut size of a graph.
A cut is a set of edges which connect different sides of a vertex partition $V = A \sqcup B$.
A cut is a set of edges which connect different sides of a vertex partition $V = A \sqcup B$.
References
Code
def statistic(G):
if G.num_edges() == 0:
return 0
return G.max_cut(value_only=True)
Created
Dec 01, 2022 at 20:21 by Harry Richman
Updated
Dec 01, 2022 at 20:21 by Harry Richman
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