“School of Mathematics”
Back to Papers HomeBack to Papers of School of Mathematics
| Paper IPM / M / 12016 |
|
||||
| Abstract: | |||||
|
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
∆ be a (d−1)-dimensional simplicial complex with Γ(∆)
as its algebraic shifting. Also let (hi,j(∆))0 ≤ j ≤ i ≤ d be the h-triangle of ∆ and (hi,j(Γ(∆)))0 ≤ j ≤ i ≤ d be the h-triangle of Γ(∆). In this paper, it
is shown that for a ∆ being sequentially (Sr) and for every i
and j with 0 ≤ j ≤ i ≤ r−1, the equality hi,j(∆) = hi,j(Γ(∆)) holds true.
Download TeX format |
|||||
| back to top | |||||
