Sequentially Cohen–Macaulay bipartite graphs: vertex decomposability and regularity
- Additional Document Info
- View All
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.
has subject area