English

Very well-covered graphs via the Rees algebra

Commutative Algebra 2023-06-13 v3

Abstract

A very well-covered graph is a well-covered graph without isolated vertices such that the size of its minimal vertex covers is half of the number of vertices. If GG is a Cohen-Macaulay very well-covered graph, we deeply investigate some algebraic properties of the cover ideal of GG via the Rees algebra associated to the ideal.

Keywords

Cite

@article{arxiv.2305.01448,
  title  = {Very well-covered graphs via the Rees algebra},
  author = {Marilena Crupi and Antonino Ficarra},
  journal= {arXiv preprint arXiv:2305.01448},
  year   = {2023}
}

Comments

Revised version

R2 v1 2026-06-28T10:23:29.275Z