English

Arithmetical rank of the cyclic and bicyclic graphs

Commutative Algebra 2015-10-19 v2

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.

Keywords

Cite

@article{arxiv.0805.1657,
  title  = {Arithmetical rank of the cyclic and bicyclic graphs},
  author = {Margherita Barile and Dariush Kiani and Fatemeh Mohammadi and Siamak Yassemi},
  journal= {arXiv preprint arXiv:0805.1657},
  year   = {2015}
}