MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

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

Mohammad Reza Pournaki Department of Mathematical Sciences, Sharif University of Technology Seyed Amin Seyed Fakhari Department of Mathematical Sciences, Sharif University of Technology Siamak Yassemi School of Mathematics, Statistics and Computer Science College of Science, University of Tehran

mathscidoc:1701.01018

Arkiv for Matematik, 51, (1), 185-196, 2011.3
Recently, Haghighi, Terai, Yassemi, and Zaare-Nahandi introduced the notion of a sequentially ($S$_{$r$}) simplicial complex. This notion gives a generalization of two properties for simplicial complexes: being sequentially Cohen–Macaulay and satisfying Serre’s condition ($S$_{$r$}). Let Δ be a ($d$−1)-dimensional simplicial complex with Γ(Δ) as its algebraic shifting. Also let ($h$_{$i$,$j$}(Δ))_{0≤$j$≤$i$≤$d$}be the$h$-triangle of Δ and ($h$_{$i$,$j$}(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 ($S$_{$r$}) and for every$i$and$j$with 0≤$j$≤$i$≤$r$−1, the equality$h$_{$i$,$j$}(Δ)=$h$_{$i$,$j$}(Γ(Δ)) holds true.
No keywords uploaded!
[ Download ] [ 2017-01-08 20:36:34 uploaded by arkivadmin ] [ 793 downloads ] [ 0 comments ] 
@inproceedings{mohammad2011on,
  title={On the$h$-triangles of sequentially ($S$_{$r$}) simplicial complexes via algebraic shifting},
  author={Mohammad Reza Pournaki, Seyed Amin Seyed Fakhari, and Siamak Yassemi},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203634739633037},
  booktitle={Arkiv for Matematik},
  volume={51},
  number={1},
  pages={185-196},
  year={2011},
}
Mohammad Reza Pournaki, Seyed Amin Seyed Fakhari, and Siamak Yassemi. On the$h$-triangles of sequentially ($S$_{$r$}) simplicial complexes via algebraic shifting. 2011. Vol. 51. In Arkiv for Matematik. pp.185-196. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203634739633037.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved