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Flag vectors of Eulerian partially ordered sets

Combinatorics 2007-05-23 v1

Abstract

The closed cone of flag vectors of Eulerian partially ordered sets is studied. It is completely determined up through rank seven. Half-Eulerian posets are defined. Certain limit posets of Billera and Hetyei are half-Eulerian; they give rise to extreme rays of the cone for Eulerian posets. A new family of linear inequalities valid for flag vectors of Eulerian posets is given.

Cite

@article{arxiv.math/9907144,
  title  = {Flag vectors of Eulerian partially ordered sets},
  author = {Margaret M. Bayer and Gabor Hetyei},
  journal= {arXiv preprint arXiv:math/9907144},
  year   = {2007}
}

Comments

31 pages, LaTeX