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| Paper IPM / M / 16508 |
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| Abstract: | |
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In this paper we showthat a k-shellable simplicial complex is the expansion of a shellable complex.
We prove that the face ring of a pure k-shellable simplicial complex satisfies the Stanley conjecture.
In this way, by applying an expansion functor to the face ring of a given pure shellable complex,
we construct a large class of rings satisfying the Stanley conjecture.
Also, by presenting some characterizations of k-shellable graphs, we extend some results due
to Castrillón-Cruz, Cruz-Estrada and Van Tuyl-Villareal.
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