Arithmetical rank of the cyclic and bicyclic graphs

Abstract

We show that for the edge ideals of the graphs consisting of one cycle or two cycles of any length connected through a vertex or a path, the arithmetical rank equals the projective dimension.

References in corpus (4)

• Betti Numbers of Graph Ideals
• The Betti numbers of forests
• A note on the edge ideals of Ferrers graphs
• On the arithmetical rank of certain monomial ideals