Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001706
Mapping
St001706: Graphs ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 2
([],2)
 => 4
([(0,1)],2)
 => 4
([],3)
 => 8
([(1,2)],3)
 => 8
([(0,2),(1,2)],3)
 => 7
([(0,1),(0,2),(1,2)],3)
 => 5
([],4)
 => 16
([(2,3)],4)
 => 16
([(1,3),(2,3)],4)
 => 14
([(0,3),(1,3),(2,3)],4)
 => 12
([(0,3),(1,2)],4)
 => 16
([(0,3),(1,2),(2,3)],4)
 => 12
([(1,2),(1,3),(2,3)],4)
 => 10
([(0,3),(1,2),(1,3),(2,3)],4)
 => 8
([(0,2),(0,3),(1,2),(1,3)],4)
 => 10
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 6
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 6
([],5)
 => 32
([(3,4)],5)
 => 32
([(2,4),(3,4)],5)
 => 28
([(1,4),(2,4),(3,4)],5)
 => 24
([(0,4),(1,4),(2,4),(3,4)],5)
 => 21
([(1,4),(2,3)],5)
 => 32
([(1,4),(2,3),(3,4)],5)
 => 24
([(0,1),(2,4),(3,4)],5)
 => 28
([(2,3),(2,4),(3,4)],5)
 => 20
([(0,4),(1,4),(2,3),(3,4)],5)
 => 20
([(1,4),(2,3),(2,4),(3,4)],5)
 => 16
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
 => 13
([(1,3),(1,4),(2,3),(2,4)],5)
 => 20
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 16
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 12
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 13
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 9
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 13
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 7
([(0,4),(1,3),(2,3),(2,4)],5)
 => 21
([(0,1),(2,3),(2,4),(3,4)],5)
 => 20
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
 => 14
([(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)
 => 17
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 11
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
 => 7
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
 => 10
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 12
([(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),(3,4)],5)
 => 7
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
 => 9
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
 => 7
Description
The number of closed sets in a graph. A subset $S$ of the set of vertices is a closed set, if for any pair of distinct elements of $S$ the intersection of the corresponding neighbourhoods is a subset of $S$: $$ \forall a, b\in S: N(a)\cap N(b) \subseteq S. $$