Flag vectors of Eulerian partially ordered sets

Details Flag vectors of Eulerian partially ordered sets Flag vectors of Eulerian partially ordered sets

1999-07-22

arxiv.org/abs/math/9907144v1

Mathematics

Combinatorics

31 pages, LaTeX

Scientific paper

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.

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