edit this statistic or download as text // json
Identifier
Values
=>
Cc0010;cc-rep
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[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>3 [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>2 [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>2 [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>3 [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>3 [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>3 [[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>3 [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>2 [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>3 [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>2 [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>3 [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>2 [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>3 [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>2 [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>3 [[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>2 [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>2 [[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>3 [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>3 [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>3 [[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>3 [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>2 [[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>3 [[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>3 [[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>2 [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>3 [[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>3 [[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>3 [[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>3 [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>2 [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>2 [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>3 [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>3 [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>3 [[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>3 [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>3 [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>4 [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>3 [[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>3 [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>3 [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>4 [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>3 [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>4 [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>3 [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>2 [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>3 [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>3 [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>3 [[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>3 [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>2 [[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>3 [[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>3 [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>3 [[.,.],[[[.,.],.],[[[.,.],.],.]]]=>3 [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>2 [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>3 [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>3 [[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>4 [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>2 [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>3 [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>3 [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>4 [[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>2 [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>3 [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>2 [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>3 [[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>3 [[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>3 [[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>3 [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>2 [[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>3 [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>3 [[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>2 [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>3 [[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>3 [[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>3 [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>3 [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>2 [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>2 [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>3 [[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>3 [[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>3 [[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>3 [[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>3 [[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>4 [[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>3 [[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>3 [[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>3 [[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>4 [[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>3 [[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>4 [[.,.],[[.,[[[[.,.],.],.],.]],.]]=>3 [[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>2 [[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>3 [[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>3 [[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>3 [[.,.],[[[.,.],[[[.,.],.],.]],.]]=>3 [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>3 [[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>4 [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>2 [[.,.],[[[[.,.],.],[[.,.],.]],.]]=>3 [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>3 [[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>3 [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>3 [[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>3 [[.,.],[[[[[.,.],.],.],[.,.]],.]]=>2 [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>3 [[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>4 [[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>3 [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>4 [[.,.],[[[.,[[[.,.],.],.]],.],.]]=>3 [[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>3 [[.,.],[[[[.,.],[[.,.],.]],.],.]]=>3 [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>4 [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>3 [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>3 [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>3 [[.,.],[[[[[.,.],[.,.]],.],.],.]]=>3 [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>3 [[.,.],[[[[[[.,.],.],.],.],.],.]]=>2 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>2 [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>3 [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>3 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>3 [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>3 [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>3 [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>4 [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>3 [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>3 [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>3 [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>4 [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>3 [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>4 [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>3 [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>3
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Description
The hook number of a binary tree.
A hook of a binary tree is a vertex together with is left- and its right-most branch. Then there is a unique decomposition of the tree into hooks and the hook number is the number of hooks in this decomposition.
Code
def statistic(T):
    return T.hook_number()
Created
Aug 09, 2016 at 11:12 by Christian Stump
Updated
Aug 09, 2016 at 11:12 by Christian Stump