Year: 2017
Type: article
Abstract: Let G be a graph and I G be its edge ideal so we call k G k x x I G [Ind ] [ ,..., ] / 1 n 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 StanleyReisner rings of graphs and simplicial complexes. By depth Lemma we reduce the computing depth of a codismantlable graph into its induced subgraphs.
Author: Alper Ülker
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2947045610