Regularity of normal Rees algebras of edge ideals of graphs

2024/05/19 by Cao Huy Linh, Linh, Cao Huy, Quang Hoa Tran +3
Mathematics · #Commutative Algebra and Its Applications

paper · pdf · doi:10.48550/arxiv.2405.11604

Abstract

We classify all graphs for which the Rees algebras of their edge ideals are normal and have regularity equal to their matching numbers.

Related

• Matching numbers and the regularity of the Rees algebra of an edge ideal
• Regularity and Gröbner bases of the Rees algebra of edge ideals of bipartite graphs
• Rees algebra and special fiber ring of binomial edge ideals of closed graphs
• Normal Rees algebras arising from vertex decomposable simplicial complexes
• Rees algebras of complementary edge ideals