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math.AC2007★ 1 cited
ACM sets of points in multiprojective space
Elena Guardo, Adam Van Tuyl
If X is a finite set of points in a multiprojective space P^n1 x ... x P^nr with r >= 2, then X may or may not be arithmetically Cohen-Macaulay (ACM). For sets of points in P^1 x P…
math.CO2007
Shellable graphs and sequentially Cohen-Macaulay bipartite graphs
Adam Van Tuyl, Rafael H. Villarreal
Associated to a simple undirected graph G is a simplicial complex whose faces correspond to the independent sets of G. We call a graph G shellable if this simplicial complex is a s…