On the Depth of Independence Complexes
Authors : Alper Ülker
Pages : 42-44
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Publication Date : 2017-04-30
Article Type : Research
Abstract :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