64 citations · 304 across the 49 of their papers we have counts for
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math.AC2007★ 20 cited
Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones
Luis A. Dupont, Rafael H. Villarreal
Let G be a simple graph and let J be its ideal of vertex covers. We give a graph theoretical description of the irreducible b-vertex covers of G, i.e., we describe the minimal gene…
math.AC2007
Cohen-Macaulay, Shellable and unmixed clutters with a perfect matching of König type
Susan Morey, Enrique Reyes, Rafael H. Villarreal
Let be a clutter with a perfect matching of König type and let be the Stanley-Reisner complex of the edge ideal of . If all…
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…