Values
([],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
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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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