Name
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. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1016/j.jcta.2004.09.005 | J. Comb. Theory, Ser. A |
Keywords | Field | DocType |
simplicial complex,large class,simplicial trees,cohen-macaulay property,higher-dimensional graph,facet ideals,square-free monomials,cohen-macaulay quotient,simplicial tree,square-free monomial ideal,cohen–macaulay,graph theory,algebraic statement,13.05,facet ideal,algebraic combinatorics | Discrete mathematics,Combinatorics,Betti number,Simplicial approximation theorem,Simplicial set,Simplicial homology,Simplicial manifold,Simplicial complex,h-vector,Abstract simplicial complex,Mathematics | Journal |
Volume | Issue | ISSN |
109 | 2 | Journal of Combinatorial Theory, Series A |
Citations | PageRank | References |
6 | 1.20 | 0 |
Authors | ||
1 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sara Faridi | 1 | 10 | 3.13 |