English

NBB bases of some pattern avoiding lattices

Combinatorics 2009-12-24 v1

Abstract

In this paper we will determine the NBB bases with respect to standard ordering of coatoms (resp.atoms) of 123-132-213-avoiding (resp.321-avoiding) lattices. Using these expression we will calculate the M\"obius numbers of 123-132-213-avoiding lattices and 321-avoiding lattices. These values become some modification of fibonacci polynomials.

Cite

@article{arxiv.0912.4560,
  title  = {NBB bases of some pattern avoiding lattices},
  author = {Masaya Tomie},
  journal= {arXiv preprint arXiv:0912.4560},
  year   = {2009}
}
R2 v1 2026-06-21T14:27:36.091Z