Identifier
Mp00011: Binary trees —to graph⟶ Graphs
Mp00275: Graphs —to edge-partition of connected components⟶ Integer partitions
Images
[.,.] => ([],1) => []
[.,[.,.]] => ([(0,1)],2) => [1]
[[.,.],.] => ([(0,1)],2) => [1]
[.,[.,[.,.]]] => ([(0,2),(1,2)],3) => [2]
[.,[[.,.],.]] => ([(0,2),(1,2)],3) => [2]
[[.,.],[.,.]] => ([(0,2),(1,2)],3) => [2]
[[.,[.,.]],.] => ([(0,2),(1,2)],3) => [2]
[[[.,.],.],.] => ([(0,2),(1,2)],3) => [2]
[.,[.,[.,[.,.]]]] => ([(0,3),(1,2),(2,3)],4) => [3]
[.,[.,[[.,.],.]]] => ([(0,3),(1,2),(2,3)],4) => [3]
[.,[[.,.],[.,.]]] => ([(0,3),(1,3),(2,3)],4) => [3]
[.,[[.,[.,.]],.]] => ([(0,3),(1,2),(2,3)],4) => [3]
[.,[[[.,.],.],.]] => ([(0,3),(1,2),(2,3)],4) => [3]
[[.,.],[.,[.,.]]] => ([(0,3),(1,2),(2,3)],4) => [3]
[[.,.],[[.,.],.]] => ([(0,3),(1,2),(2,3)],4) => [3]
[[.,[.,.]],[.,.]] => ([(0,3),(1,2),(2,3)],4) => [3]
[[[.,.],.],[.,.]] => ([(0,3),(1,2),(2,3)],4) => [3]
[[.,[.,[.,.]]],.] => ([(0,3),(1,2),(2,3)],4) => [3]
[[.,[[.,.],.]],.] => ([(0,3),(1,2),(2,3)],4) => [3]
[[[.,.],[.,.]],.] => ([(0,3),(1,3),(2,3)],4) => [3]
[[[.,[.,.]],.],.] => ([(0,3),(1,2),(2,3)],4) => [3]
[[[[.,.],.],.],.] => ([(0,3),(1,2),(2,3)],4) => [3]
[.,[.,[.,[.,[.,.]]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[.,[.,[.,[[.,.],.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[.,[.,[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[.,[.,[[.,[.,.]],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[.,[.,[[[.,.],.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[.,[[.,.],[[.,.],.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[.,[[[.,.],.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[.,[[.,[.,[.,.]]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[.,[[.,[[.,.],.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[.,[[[.,.],[.,.]],.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[.,[[[.,[.,.]],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[.,[[[[.,.],.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[[.,.],[[.,[.,.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,.],[[[.,.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,[[.,.],.]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[[[.,[.,.]],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[[[.,.],.],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,[.,[.,[.,.]]]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,[.,[[.,.],.]]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,[[.,.],[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[[.,[[.,[.,.]],.]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[.,[[[.,.],.],.]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[[.,.],[.,[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[[[.,.],[[.,.],.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[[[.,[.,.]],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[[[[.,.],.],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[[[.,[.,[.,.]]],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[[.,[[.,.],.]],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[[[.,.],[.,.]],.],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => [4]
[[[[.,[.,.]],.],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[[[[[.,.],.],.],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => [4]
[.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[.,[.,[[.,.],[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[.,[[[.,.],[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [5]
[.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [5]
[.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[.,[.,[.,[.,.]]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[[.,[.,[[.,.],.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[[.,[[.,.],[.,.]]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[.,[[.,[.,.]],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[[.,[[[.,.],.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[[[.,[.,.]],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
>>> Load all 625 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[[[.,[[.,.],.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[[[[.,.],[.,.]],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[.,[[[[.,[.,.]],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[.,[[[[[.,.],.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[.,.],[[[.,[.,.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,[[.,.],.]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,[.,[.,[.,.]]]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,[.,[[.,.],.]]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,[[.,.],[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[.,[.,[[.,[.,.]],.]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[.,[[[.,.],.],.]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[.,[[.,.],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[.,[[.,[.,.]],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[.,[[[.,.],.],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[.,[[.,[.,[.,.]]],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[[.,[[.,.],.]],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[[[.,.],[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[.,[[[.,[.,.]],.],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[.,[[[[.,.],.],.],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [5]
[[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,[.,.]],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[.,[.,.]],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,[[.,.],.]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => [5]
[[[[.,[.,.]],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,[.,[.,[.,.]]]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,[.,[[.,.],.]]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,[[.,.],[.,.]]],.],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => [5]
[[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[.,[[[.,.],.],.]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
[[[[.,.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[[.,.],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[[.,[.,.]],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[[[.,.],.],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => [5]
[[[[.,[.,[.,.]]],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => [5]
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[[.,[.,[[.,[.,[.,.]]],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[.,[[.,[[.,.],.]],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[.,[[[.,.],[.,.]],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[.,[.,[[[.,[.,.]],.],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[.,[[[[.,.],.],.],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[[.,.],[.,[.,[.,.]]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[.,.],[.,[[.,.],.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[.,.],[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[.,[[.,.],[[.,[.,.]],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[.,.],[[[.,.],.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[.,[.,.]],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6]
[[.,[[.,[.,.]],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6]
[[.,[[[.,.],.],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6]
[[.,[[[.,.],.],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6]
[[.,[[.,[.,[.,.]]],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[.,[[.,.],.]],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[[.,.],[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[.,[[[.,[.,.]],.],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[[[.,.],.],.],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[.,[.,[.,[.,.]]]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[[.,[.,[[.,.],.]]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[[.,[[.,.],[.,.]]],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[.,[[.,[[.,[.,.]],.]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[[.,[[[.,.],.],.]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[[[.,.],[.,[.,.]]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[[.,.],[[.,.],.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[[.,[.,.]],[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[[[.,.],.],[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[.,[[[.,[.,[.,.]]],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[[[.,[[.,.],.]],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[[[[.,.],[.,.]],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[.,[[[[.,[.,.]],.],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[.,[[[[[.,.],.],.],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,.],[.,[.,[[.,.],.]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [6]
[[[.,.],[.,[[.,[.,.]],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,.],[.,[[[.,.],.],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[.,.],[[.,[.,[.,.]]],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,.],[[.,[[.,.],.]],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [6]
[[[.,.],[[[.,[.,.]],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,.],[[[[.,.],.],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,[.,.]],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[.,.]],[.,[[.,.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[.,.]],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[.,[.,.]],[[.,[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[.,.]],[[[.,.],.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[[.,.],.],[[.,[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,.],.],[[[.,.],.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[.,[.,.]]],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[.,[.,.]]],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[[.,.],.]],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[[.,.],.]],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[[.,[.,.]],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,[.,.]],.],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[[.,.],.],.],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[.,[.,[.,.]]]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,[.,[[.,.],.]]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,[[.,.],[.,.]]],[.,.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [6]
[[[.,[[.,[.,.]],.]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,[[[.,.],.],.]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[[.,.],[.,[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[[.,.],[[.,.],.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[[.,[.,.]],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[[.,[.,[.,.]]],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[[.,[[.,.],.]],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[[[.,.],[.,.]],.],[.,.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => [6]
[[[[[.,[.,.]],.],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[[[[.,.],.],.],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[.,[.,[.,[[.,.],.]]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[.,[.,[[.,.],[.,.]]]],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,[.,[[.,[.,.]],.]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[.,[[.,.],[.,[.,.]]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[[.,.],[[.,.],.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[[.,[.,.]],[.,.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[[[.,.],.],[.,.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[.,[[[.,.],[.,.]],.]],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[.,[[[[.,.],.],.],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[[.,.],[.,[.,[.,.]]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,.],[.,[[.,.],.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,.],[[.,.],[.,.]]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[[.,.],[[.,[.,.]],.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,.],[[[.,.],.],.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,[.,.]],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6]
[[[[.,[.,.]],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6]
[[[[[.,.],.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6]
[[[[[.,.],.],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => [6]
[[[[.,[.,[.,.]]],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,[[.,.],.]],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[[.,.],[.,.]],[.,.]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => [6]
[[[[[.,[.,.]],.],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[[[.,.],.],.],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[[.,[[.,.],[.,.]]],.],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[[[.,.],[.,[.,.]]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[[.,.],[[.,.],.]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[[.,[.,.]],[.,.]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[[[.,.],.],[.,.]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => [6]
[[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[[[[.,.],[.,.]],.],.],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => [6]
[[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
[[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => [6]
Map
to graph
Description
Return the undirected graph obtained from the tree nodes and edges, with leaves being ignored.
Map
to edge-partition of connected components
Description
Sends a graph to the partition recording the number of edges in its connected components.