On the Depth of Independence Complexes

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Eastern Anatolian Journal of Science
Volume:3 Issue:1
On the Depth of Independence Complexes

On the Depth of Independence Complexes

Authors : Alper ÜLKER

Pages : 42-44

View : 27 | Download : 7

Publication Date : 2017-04-30

Article Type : Research Paper

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

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