Sequentially Cohen-Macaulay bipartite graphs: vertex decomposability and regularity
Commutative Algebra
2009-06-02 v1 Combinatorics
Abstract
Let G be a bipartite graph with edge ideal I(G) whose quotient ring R/I(G) is sequentially Cohen-Macaulay. We prove: (1) the independence complex of G must be vertex decomposable, and (2) the Castelnuovo-Mumford regularity of R/I(G) can be determined from the invariants of G.
Cite
@article{arxiv.0906.0273,
title = {Sequentially Cohen-Macaulay bipartite graphs: vertex decomposability and regularity},
author = {Adam Van Tuyl},
journal= {arXiv preprint arXiv:0906.0273},
year = {2009}
}
Comments
8 pages