Samuel Kolins
Published 2010-09-10Version 1
Results of R. Stanley and M. Masuda completely characterize the h-vectors of simplicial posets whose order complexes are spheres. In this paper we examine the corresponding question in the case where the order complex is a ball. Using the face rings of these posets, we develop a series of new conditions on their h-vectors. We also present new methods for constructing poset balls with specific h-vectors. These results allow us to give a complete characterization of the h-vectors of simplicial poset balls up through dimension six.
A characterization of 4-connected graphs with no $K_{3,3}+v$-minor
The flag f-vectors of Gorenstein* order complexes of dimension 3
Order complexes of noncomplemented lattices are nonevasive
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