Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals

2021/08/04 by Dong Huu Mau, Mau, Dong Huu, Trân Nam Trung +1 · 1 citation
Computer Science · Mathematics · #05C90 #05E40 #05E45 #13D45 #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2108.01830

openalex publication_date 2021/08/04 · openalex created_date 2021/08/16 · openalex updated_date 2026/07/28

Abstract

In this paper, we study associated primes and depth of integral closures of powers of edge ideals. We provide sharp bounds on how big of powers for which the set of associated primes and the depth of integral closures of powers of edge ideals are stable.

Citations

• Integral closure of ideals

Cited by

• v-numbers of integral closure filtrations of monomial ideals

Related

• Persistence and stability properties of powers of ideals
• Depth of powers of integrally closed edge ideals of edge-weighted paths
• Depth of powers of edge ideals of edge-weighted integrally closed cycles
• Associated primes of powers of edge ideals of edge-weighted trees
• Combinatorial characterizations of the saturation and the associated primes of the fourth power of edge ideals