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Paper   IPM / M / 16508
School of Mathematics
  Title:   K-shellable simplicial complexes and graphs
  Author(s):  Rahim Rahmati-Asghar
  Status:   Published
  Journal: Math. Scand.
  Vol.:  122
  Year:  2017
  Pages:   161-178
  Supported by:  IPM
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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