Identifier
-
Mp00008:
Binary trees
—to complete tree⟶
Ordered trees
St000522: Ordered trees ⟶ ℤ
Values
[.,.] => [[],[]] => 1
[.,[.,.]] => [[],[[],[]]] => 2
[[.,.],.] => [[[],[]],[]] => 2
[.,[.,[.,.]]] => [[],[[],[[],[]]]] => 3
[.,[[.,.],.]] => [[],[[[],[]],[]]] => 3
[[.,.],[.,.]] => [[[],[]],[[],[]]] => 2
[[.,[.,.]],.] => [[[],[[],[]]],[]] => 3
[[[.,.],.],.] => [[[[],[]],[]],[]] => 3
[.,[.,[.,[.,.]]]] => [[],[[],[[],[[],[]]]]] => 4
[.,[.,[[.,.],.]]] => [[],[[],[[[],[]],[]]]] => 4
[.,[[.,.],[.,.]]] => [[],[[[],[]],[[],[]]]] => 3
[.,[[.,[.,.]],.]] => [[],[[[],[[],[]]],[]]] => 4
[.,[[[.,.],.],.]] => [[],[[[[],[]],[]],[]]] => 4
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Description
The number of 1-protected nodes of a rooted tree.
This is the number of nodes with minimal distance one to a leaf.
This is the number of nodes with minimal distance one to a leaf.
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Description
Return the same tree seen as an ordered tree. By default, leaves are transformed into actual nodes.
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