#19446: Hook statistics in binary Trees
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Reporter: boussica | Owner:
Type: enhancement | Status: new
Priority: minor | Milestone: sage-6.10
Component: combinatorics | Keywords: binary trees, hook
Merged in: | Authors: Adrien Boussicault
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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We add a hook statistics on binary trees.
The hook of a vertex v is the union of {v}, its leftmost and·
rightmost branches.
There is a unique way to partition the vertices in hooks.
The number of hooks in such a partition is the hook number of the tree.
We can obtain this partition recursively by extracting the root's hook·
and iterating the processus on each tree of the remaining forest.
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Ticket URL: <http://trac.sagemath.org/ticket/19446>
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