Unmixed bipartite graphs and sublattices of the Boolean lattices

Abstract

The correspondence between unmixed bipartite graphs and sublattices of the oolean lattice is discussed. By using this correspondence, we show the existence of squarefree quadratic initial ideals of toric ideals arising from minimal vertex covers of unmixed bipartite graphs.

5 pages

References in corpus (1)

• Unmixed bipartite graphs

Cited by in corpus (7)

• Existence of unimodular triangulations - positive results
• The standard graded property for vertex cover algebras of Quasi-Trees
• On the Hilbert series of vertex cover algebras of Cohen-Macaulay bipartite graphs
• Sequentially Cohen-Macaulay bipartite graphs: vertex decomposability and regularity
• On the Hilbert series of vertex cover algebras of unmixed bipartite graphs
• On the dimension of the minimal vertex covers semigroup ring of an unmixed bipartite graph
• Freiman cover ideals of unmixed bipartite graphs