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arXiv · 1409.3855

Note on islands in path-length sequences of binary trees

S. Cortes Reina·S. Foldes·Y. Mardoukhi·N. M. Singhi
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Abstract

An earlier characterization of topologically ordered (lexicographic) path-length sequences of binary trees is reformulated in terms of an integrality condition on a scaled Kraft sum of certain subsequences (full segments, or islands). The scaled Kraft sum is seen to count the set of ancestors at a certain level of a set of topologically consecutive leaves is a binary tree.

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S. Cortes Reina, S. Foldes, Y. Mardoukhi, N. M. Singhi. 2014-09-12. Note on islands in path-length sequences of binary trees. https://arxiv.org/abs/1409.3855

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