Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9515382 | Journal of Combinatorial Theory, Series A | 2005 | 31 Pages |
Abstract
In this paper, we study simplicial complexes as higher-dimensional graphs in order to produce algebraic statements about their facet ideals. We introduce a large class of square-free monomial ideals with Cohen-Macaulay quotients, and a criterion for the Cohen-Macaulayness of facet ideals of simplicial trees. Along the way, we generalize several concepts from graph theory to simplicial complexes.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Sara Faridi,