On the Depth of Independence Complexes

Year 2017, Volume: 3 Issue: 1, 42 - 44, 30.04.2017

Alper Ülker

https://izlik.org/JA78RS23AU

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

References

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