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On the h-triangles of sequentially (S r) simplicial complexes via algebraic shifting

Pournaki, M. R ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1007/s11512-011-0160-6
  3. Publisher: 2013
  4. Abstract:
  5. Recently, Haghighi, Terai, Yassemi, and Zaare-Nahandi introduced the notion of a sequentially (Sr) simplicial complex. This notion gives a generalization of two properties for simplicial complexes: being sequentially Cohen-Macaulay and satisfying Serre's condition (Sr). Let Δ be a (d-1)-dimensional simplicial complex with Γ(Δ) as its algebraic shifting. Also let (hi,j(Δ))0≤j≤i≤d be the h-triangle of Δ and (hi,j(Γ(Δ)))0≤j≤i≤d be the h-triangle of Γ(Δ). In this paper, it is shown that for a Δ being sequentially (Sr) and for every i and j with 0≤j≤i≤r-1, the equality hi,j(Δ)=hi,j(Γ(Δ)) holds true
  6. Keywords:
  8. Source: Arkiv for Matematik ; Volume 51, Issue 1 , 2013 , Pages 185-196 ; 00042080 (ISSN)
  9. URL: http://link.springer.com/article/10.1007%2Fs11512-011-0160-6