7 citations · 15 across the 15 of their papers we have counts for
Showing 2009 · math.ACShow all
2 papers · 2 filters
math.AC2009★ 1 cited
Sequentially Cohen-Macaulay bipartite graphs: vertex decomposability and regularity
Adam Van Tuyl
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,…
math.AC2009★ 7 cited
Algebraic properties of the path ideal of a tree
Jing Jane He, Adam Van Tuyl
The path ideal (of length t >=2) of a graph G is the monomial ideal, denoted I_t(G), whose generators correspond to the directed paths of length t in G. We study some of the algebr…