Convex-Ear Decompositions and the Flag h-Vector

Details Convex-Ear Decompositions and the Flag h-Vector Convex-Ear Decompositions and the Flag h-Vector

2010-06-13

arxiv.org/abs/1006.2561v1

Mathematics

Combinatorics

15 pages, 1 figure

Scientific paper

We prove a theorem allowing us to find convex-ear decompositions for rank-selected subposets of posets that are unions of Boolean sublattices in a coherent fashion. We then apply this theorem to geometric lattices and face posets of shellable complexes, obtaining new inequalities for their h-vectors. Finally, we use the latter decomposition to prove new inequalities for the flag h-vectors of face posets of Cohen-Macaulay complexes.

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