The size of the biggest Caterpillar subtree in binary rooted planar trees

Details The size of the biggest Caterpillar subtree in binary rooted planar trees The size of the biggest Caterpillar subtree in binary rooted planar trees

2012-02-25

arxiv.org/abs/1202.5668v2

Mathematics

Combinatorics

Scientific paper

We study particular patterns in planar rooted binary trees. In particular we
will consider those subtrees having the caterpillar property, which means that
their Colless's index is equal to one. The size of the biggest caterpillar
subtree becomes then a new parameter with respect to which we find several
enumerations.

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