English

Linial arrangements and local binary search trees

Combinatorics 2014-12-01 v1

Abstract

We study the set of NBC sets (no broken circuit sets) of the Linial arrangement and deduce a constructive bijection to the set of local binary search trees. We then generalize this construction to two families of Linial type arrangements for which the bijections are with some kk-ary labelled trees that we introduce for this purpose.

Keywords

Cite

@article{arxiv.1411.7834,
  title  = {Linial arrangements and local binary search trees},
  author = {David Forge},
  journal= {arXiv preprint arXiv:1411.7834},
  year   = {2014}
}

Comments

13 pages, 1 figure. arXiv admin note: text overlap with arXiv:1403.2573

R2 v1 2026-06-22T07:14:56.146Z