Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001764
Mapping
St001764: Graphs ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 0
([],2)
 => 0
([(0,1)],2)
 => 0
([],3)
 => 0
([(1,2)],3)
 => 0
([(0,2),(1,2)],3)
 => 1
([(0,1),(0,2),(1,2)],3)
 => 0
([],4)
 => 0
([(2,3)],4)
 => 0
([(1,3),(2,3)],4)
 => 2
([(0,3),(1,3),(2,3)],4)
 => 4
([(0,3),(1,2)],4)
 => 0
([(0,3),(1,2),(2,3)],4)
 => 5
([(1,2),(1,3),(2,3)],4)
 => 0
([(0,3),(1,2),(1,3),(2,3)],4)
 => 3
([(0,2),(0,3),(1,2),(1,3)],4)
 => 6
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 3
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 0
([],5)
 => 0
([(3,4)],5)
 => 0
([(2,4),(3,4)],5)
 => 4
([(1,4),(2,4),(3,4)],5)
 => 8
([(0,4),(1,4),(2,4),(3,4)],5)
 => 11
([(1,4),(2,3)],5)
 => 0
([(1,4),(2,3),(3,4)],5)
 => 10
([(0,1),(2,4),(3,4)],5)
 => 4
([(2,3),(2,4),(3,4)],5)
 => 0
([(0,4),(1,4),(2,3),(3,4)],5)
 => 14
([(1,4),(2,3),(2,4),(3,4)],5)
 => 6
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
 => 10
([(1,3),(1,4),(2,3),(2,4)],5)
 => 12
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 17
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 6
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 12
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 11
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 19
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 12
([(0,4),(1,3),(2,3),(2,4)],5)
 => 16
([(0,1),(2,3),(2,4),(3,4)],5)
 => 0
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
 => 13
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
 => 9
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
 => 15
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 15
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
 => 12
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
 => 13
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 0
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 7
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 9
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
 => 16
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
 => 13
Description
The number of non-convex subsets of vertices in a graph. A set of vertices $U$ is convex, if for any two vertices $u,v\in U$, all vertices on any shortest path connecting $u$ and $v$ are also in $U$.