English

On the imbalance lattice of path-length sequences of binary trees

Combinatorics 2013-07-02 v1

Abstract

The existence of greatest lower bounds in the imbalance order of path-length sequences of binary trees is seen to be a consequence of a joint monotonicity property of the greater and lower expension operations. Path length sequences that are join-irreducible in the imbalance lattice are characterized.

Keywords

Cite

@article{arxiv.1307.0161,
  title  = {On the imbalance lattice of path-length sequences of binary trees},
  author = {S. Foldes and R. Radeleczki},
  journal= {arXiv preprint arXiv:1307.0161},
  year   = {2013}
}