Identifier
Mp00011: Binary trees —to graph⟶ Graphs
Mp00264: Graphs —delete endpoints⟶ Graphs
Images
[.,.] => ([],1) => ([],1)
[.,[.,.]] => ([(0,1)],2) => ([],1)
[[.,.],.] => ([(0,1)],2) => ([],1)
[.,[.,[.,.]]] => ([(0,2),(1,2)],3) => ([],1)
[.,[[.,.],.]] => ([(0,2),(1,2)],3) => ([],1)
[[.,.],[.,.]] => ([(0,2),(1,2)],3) => ([],1)
[[.,[.,.]],.] => ([(0,2),(1,2)],3) => ([],1)
[[[.,.],.],.] => ([(0,2),(1,2)],3) => ([],1)
[.,[.,[.,[.,.]]]] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[.,[.,[[.,.],.]]] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[.,[[.,.],[.,.]]] => ([(0,3),(1,3),(2,3)],4) => ([],1)
[.,[[.,[.,.]],.]] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[.,[[[.,.],.],.]] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[[.,.],[.,[.,.]]] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[[.,.],[[.,.],.]] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[[.,[.,.]],[.,.]] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[[[.,.],.],[.,.]] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[[.,[.,[.,.]]],.] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[[.,[[.,.],.]],.] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[[[.,.],[.,.]],.] => ([(0,3),(1,3),(2,3)],4) => ([],1)
[[[.,[.,.]],.],.] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[[[[.,.],.],.],.] => ([(0,3),(1,2),(2,3)],4) => ([],1)
[.,[.,[.,[.,[.,.]]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[.,[.,[.,[[.,.],.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[.,[.,[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[.,[.,[[.,[.,.]],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[.,[.,[[[.,.],.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[.,[[.,.],[[.,.],.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[.,[[[.,.],.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[.,[[.,[.,[.,.]]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[.,[[.,[[.,.],.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[.,[[[.,.],[.,.]],.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[.,[[[.,[.,.]],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[.,[[[[.,.],.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[[.,.],[[.,[.,.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,.],[[[.,.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,[[.,.],.]],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[[[.,[.,.]],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[[[.,.],.],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,[.,[.,[.,.]]]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,[.,[[.,.],.]]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,[[.,.],[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[[.,[[.,[.,.]],.]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[.,[[[.,.],.],.]],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[[.,.],[.,[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[[[.,.],[[.,.],.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[[[.,[.,.]],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[[[[.,.],.],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[[[.,[.,[.,.]]],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[[.,[[.,.],.]],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[[[.,.],[.,.]],.],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => ([],1)
[[[[.,[.,.]],.],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[[[[[.,.],.],.],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => ([],1)
[.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[.,[.,[[.,.],[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[.,[[[.,.],[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[.,[[[.,[.,.]],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([],1)
[.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([],1)
[.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[.,[.,[.,[.,.]]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[[.,[.,[[.,.],.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[[.,[[.,.],[.,.]]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[.,[[.,[.,.]],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[[.,[[[.,.],.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[[[.,[.,.]],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
>>> Load all 625 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[[[.,[[.,.],.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[[[[.,.],[.,.]],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[.,[[[[.,[.,.]],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[.,[[[[[.,.],.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[.,.],[[[.,[.,.]],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,[[.,.],.]],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,[.,[.,[.,.]]]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,[.,[[.,.],.]]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,[[.,.],[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[.,[.,[[.,[.,.]],.]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[.,[[[.,.],.],.]]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[.,[[.,.],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[.,[[.,[.,.]],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[.,[[[.,.],.],[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[.,[[.,[.,[.,.]]],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[[.,[[.,.],.]],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[[[.,.],[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[.,[[[.,[.,.]],.],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[.,[[[[.,.],.],.],.]],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([],1)
[[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,[.,.]],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[[.,[.,.]],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
[[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,[[.,.],.]],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => ([],1)
[[[[.,[.,.]],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,[.,[.,[.,.]]]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,[.,[[.,.],.]]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,[[.,.],[.,.]]],.],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => ([],1)
[[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[.,[[[.,.],.],.]],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => ([],1)
[[[[.,.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => ([],1)
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[[[[[[.,.],.],.],.],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[.,[.,[.,[[.,.],.]]]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[.,[.,[[.,.],[.,.]]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[.,[.,[.,[[.,[.,.]],.]]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[.,[.,[[[.,.],.],.]]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[.,[[.,.],[.,[.,.]]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[.,[[.,.],[[.,.],.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[.,[[.,[.,.]],[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[.,[[[.,.],.],[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[.,[[.,[.,[.,.]]],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[.,[[.,[[.,.],.]],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[.,[[[.,.],[.,.]],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[.,[.,[[[.,[.,.]],.],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[.,[[[[.,.],.],.],.]]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[[.,.],[.,[.,[.,.]]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[.,.],[.,[[.,.],.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[.,.],[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[.,[[.,.],[[.,[.,.]],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[.,.],[[[.,.],.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[.,[.,.]],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([],1)
[[.,[[.,[.,.]],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([],1)
[[.,[[[.,.],.],[.,[.,.]]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([],1)
[[.,[[[.,.],.],[[.,.],.]]],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([],1)
[[.,[[.,[.,[.,.]]],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[.,[[.,.],.]],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[[.,.],[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[.,[[[.,[.,.]],.],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[[[.,.],.],.],[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[.,[.,[.,[.,.]]]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[[.,[.,[[.,.],.]]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[[.,[[.,.],[.,.]]],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[.,[[.,[[.,[.,.]],.]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[[.,[[[.,.],.],.]],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[[[.,.],[.,[.,.]]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[[.,.],[[.,.],.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[[.,[.,.]],[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[[[.,.],.],[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[.,[[[.,[.,[.,.]]],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[[[.,[[.,.],.]],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[[[[.,.],[.,.]],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[.,[[[[.,[.,.]],.],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[.,[[[[[.,.],.],.],.],.]],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,.],[.,[.,[[.,.],.]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,.],[.,[[.,[.,.]],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,.],[.,[[[.,.],.],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[.,.],[[.,[.,[.,.]]],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,.],[[.,[[.,.],.]],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,.],[[[.,[.,.]],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,.],[[[[.,.],.],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,[.,.]],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[.,.]],[.,[[.,.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[.,.]],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[.,[.,.]],[[.,[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[.,.]],[[[.,.],.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[[.,.],.],[[.,[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,.],.],[[[.,.],.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[.,[.,.]]],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[.,[.,.]]],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[[.,.],.]],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[[.,.],.]],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[[.,[.,.]],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,[.,.]],.],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[[.,.],.],.],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[.,[.,[.,.]]]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,[.,[[.,.],.]]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,[[.,.],[.,.]]],[.,.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,[[.,[.,.]],.]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,[[[.,.],.],.]],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[[.,.],[.,[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[[.,.],[[.,.],.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[[.,[.,.]],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[[.,[.,[.,.]]],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[[.,[[.,.],.]],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[[[.,.],[.,.]],.],[.,.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => ([],1)
[[[[[.,[.,.]],.],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[[[[.,.],.],.],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[.,[.,[.,[[.,.],.]]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[.,[.,[[.,.],[.,.]]]],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,[.,[[.,[.,.]],.]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[.,[[.,.],[.,[.,.]]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[[.,.],[[.,.],.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[[.,[.,.]],[.,.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[[[.,.],.],[.,.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[.,[[.,[.,[.,.]]],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[.,[[.,[[.,.],.]],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[.,[[[.,.],[.,.]],.]],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[.,[[[[.,.],.],.],.]],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[[.,.],[.,[.,[.,.]]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,.],[.,[[.,.],.]]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,.],[[.,.],[.,.]]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[[.,.],[[.,[.,.]],.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,.],[[[.,.],.],.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,[.,.]],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([],1)
[[[[.,[.,.]],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([],1)
[[[[[.,.],.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([],1)
[[[[[.,.],.],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => ([],1)
[[[[.,[.,[.,.]]],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,[[.,.],.]],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[[.,.],[.,.]],[.,.]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => ([],1)
[[[[[.,[.,.]],.],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[[[.,.],.],.],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[.,[.,[.,[.,.]]]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[[.,[.,[[.,.],.]]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[[.,[[.,.],[.,.]]],.],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[[.,[[.,[.,.]],.]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[[.,[[[.,.],.],.]],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[[[.,.],[.,[.,.]]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[[.,.],[[.,.],.]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[[.,[.,.]],[.,.]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[[[.,.],.],[.,.]],.],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => ([],1)
[[[[[.,[.,[.,.]]],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[[[.,[[.,.],.]],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[[[[.,.],[.,.]],.],.],.],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => ([],1)
[[[[[[.,[.,.]],.],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
[[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => ([],1)
Map
to graph
Description
Return the undirected graph obtained from the tree nodes and edges, with leaves being ignored.
Map
delete endpoints
Description
Sends a graph to a maximal subgraph with no endpoints.
An endpoint of a graph is a vertex of degree one. Given an arbitrary graph, this map repeatedly searches for an endpoint and deletes it, until no endpoint remains. The result does not depend on the order of endpoints chosen, up to isomorphism. The map preserves the number of connected components. For a connected graph with at least one cycle, this map returns the 2-core.