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Flag Vectors of Eulerian Partially Ordered Sets

✍ Scribed by Margaret M. Bayer; Gábor Hetyei

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
244 KB
Volume
22
Category
Article
ISSN
0195-6698

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✦ Synopsis

The closed cone of flag vectors of Eulerian partially ordered sets is studied. A new family of linear inequalities valid for Eulerian flag vectors is given. 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. Other extreme posets are formed from consideration of the cd-index. The cone of Eulerian flag vectors is completely determined up through rank seven.

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