On the Hilbert series of vertex cover algebras of unmixed bipartite graphs

Abstract

We compute the reduced Gröbner basis of the toric ideal with respect to a suitable monomial order and we study the Hilbert series of the vertex cover algebra $A(G)$, where $G$ is an unmixed bipartite graph without isolated vertices.

8 pages

References in corpus (3)

• Unmixed bipartite graphs and sublattices of the Boolean lattices
• Dimension, depth and zero-divisors of the algebra of basic $k$-covers of a graph
• On the Hilbert series of vertex cover algebras of Cohen-Macaulay bipartite graphs