Alper ÜLKER

On the Depth of Independence Complexes

ISSN: 2149-6137
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2015
Yayıncı: Ağrı İbrahim Çeçen Üniversitesi

Let G be a graph and I G be its edge ideal so we call Stanley-Reisner ring of G . The depth of a ring is a well-studied and important algebraic invariant in commutative algebra. In this paper we give some results on the depth of Stanley- Reisner rings of graphs and simplicial complexes. By depth Lemma we reduce the computing depth of a codismantlable graph into its induced subgraphs.

Keywords:

Complexes,

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