Identifier
Values
([(0,3),(1,2)],4) => [1,1] => [1] => 0
([(1,4),(2,3)],5) => [1,1] => [1] => 0
([(0,1),(2,4),(3,4)],5) => [2,1] => [1] => 0
([(0,1),(2,3),(2,4),(3,4)],5) => [3,1] => [1] => 0
([(2,5),(3,4)],6) => [1,1] => [1] => 0
([(1,2),(3,5),(4,5)],6) => [2,1] => [1] => 0
([(0,1),(2,5),(3,5),(4,5)],6) => [3,1] => [1] => 0
([(0,5),(1,5),(2,4),(3,4)],6) => [2,2] => [2] => 0
([(0,5),(1,4),(2,3)],6) => [1,1,1] => [1,1] => 1
([(0,1),(2,5),(3,4),(4,5)],6) => [3,1] => [1] => 0
([(1,2),(3,4),(3,5),(4,5)],6) => [3,1] => [1] => 0
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) => [4,1] => [1] => 0
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) => [4,1] => [1] => 0
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => [3,2] => [2] => 0
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [5,1] => [1] => 0
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => [3,3] => [3] => 0
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => [6,1] => [1] => 0
([(3,6),(4,5)],7) => [1,1] => [1] => 0
([(2,3),(4,6),(5,6)],7) => [2,1] => [1] => 0
([(1,2),(3,6),(4,6),(5,6)],7) => [3,1] => [1] => 0
([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => [4,1] => [1] => 0
([(1,6),(2,6),(3,5),(4,5)],7) => [2,2] => [2] => 0
([(0,6),(1,6),(2,6),(3,5),(4,5)],7) => [3,2] => [2] => 0
([(1,6),(2,5),(3,4)],7) => [1,1,1] => [1,1] => 1
([(1,2),(3,6),(4,5),(5,6)],7) => [3,1] => [1] => 0
([(0,3),(1,2),(4,6),(5,6)],7) => [2,1,1] => [1,1] => 1
([(2,3),(4,5),(4,6),(5,6)],7) => [3,1] => [1] => 0
([(0,1),(2,6),(3,6),(4,5),(5,6)],7) => [4,1] => [1] => 0
([(1,2),(3,6),(4,5),(4,6),(5,6)],7) => [4,1] => [1] => 0
([(0,1),(2,6),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [1] => 0
([(1,2),(3,5),(3,6),(4,5),(4,6)],7) => [4,1] => [1] => 0
([(0,6),(1,5),(2,4),(3,4),(5,6)],7) => [3,2] => [2] => 0
([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,2] => [2] => 0
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [5,1] => [1] => 0
([(0,6),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,2] => [2] => 0
([(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [1] => 0
([(0,1),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [5,1] => [1] => 0
([(0,1),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1] => 0
([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => [3,3] => [3] => 0
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7) => [6,1] => [1] => 0
([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [1] => 0
([(0,6),(1,6),(2,4),(2,5),(3,4),(3,5)],7) => [4,2] => [2] => 0
([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6),(5,6)],7) => [5,2] => [2] => 0
([(0,1),(2,5),(3,4),(4,6),(5,6)],7) => [4,1] => [1] => 0
([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => [3,1,1] => [1,1] => 1
([(0,1),(2,3),(3,6),(4,5),(4,6),(5,6)],7) => [5,1] => [1] => 0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,6),(5,6)],7) => [6,1] => [1] => 0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5)],7) => [5,1] => [1] => 0
([(0,6),(1,5),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [3] => 0
([(0,1),(2,3),(2,6),(3,5),(4,5),(4,6),(5,6)],7) => [6,1] => [1] => 0
([(0,1),(2,5),(2,6),(3,4),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [1] => 0
([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => [3,3] => [3] => 0
([(0,1),(2,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1] => 0
([(0,6),(1,2),(1,3),(2,3),(4,5),(4,6),(5,6)],7) => [4,3] => [3] => 0
([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,1] => [1] => 0
([(0,1),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [7,1] => [1] => 0
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [8,1] => [1] => 0
([(0,1),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6)],7) => [7,1] => [1] => 0
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,6),(5,6)],7) => [8,1] => [1] => 0
([(0,1),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [9,1] => [1] => 0
([(0,5),(0,6),(1,2),(1,3),(2,3),(4,5),(4,6)],7) => [4,3] => [3] => 0
([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,2] => [2] => 0
([(0,1),(0,2),(1,2),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [5,3] => [3] => 0
([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [6,3] => [3] => 0
([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => [10,1] => [1] => 0
search for individual values
searching the database for the individual values of this statistic
Description
The size of a partition minus its first part.
This is the number of boxes in its diagram that are not in the first row.
Map
first row removal
Description
Removes the first entry of an integer partition
Map
to edge-partition of connected components
Description
Sends a graph to the partition recording the number of edges in its connected components.