Note on islands in path-length sequences of binary trees
Combinatorics
2014-09-16 v1
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.
Keywords
Cite
@article{arxiv.1409.3855,
title = {Note on islands in path-length sequences of binary trees},
author = {S. Cortes Reina and S. Foldes and Y. Mardoukhi and N. M. Singhi},
journal= {arXiv preprint arXiv:1409.3855},
year = {2014}
}
Comments
4 pages