K-shellable simplicial complexesand graphs

• Rahim Rahmati-Asghar ^[1]
  1. [1] University of Maragheh

     University of Maragheh

     Irán

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 122, Nº 2, 2018, págs. 161-178
• Idioma: inglés
• DOI: 10.7146/math.scand.a-102975
• Texto completo no disponible (Saber más ...)
• Resumen

  • In this paper we show that 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