On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph

  • Cristina Bertone Università di Torino
  • Vincenzo Micale Università di Catania
Keywords: Unmixed graph, bipartite graph, vertex cover algebra

Abstract

In a paper in 2008, Herzog, Hibi and Ohsugi introduced and studied the semigroup ring associated to the set of minimal vertex covers of an unmixed bipartite graph. In this paper we relate the dimension of this semigroup ring to the rank of the Boolean lattice associated to the graph.

Author Biographies

Cristina Bertone, Università di Torino
Dipartimento di Matematica
Vincenzo Micale, Università di Catania
Dipartimento di Matematica e Informatica
Published
2009-04-07
Section
Articoli