Regularity of Powers and symbolic powers of edge ideals of cubic circulant graphs

2024/09/30 by Nguyễn Thu Hằng, Hang, Nguyen Thu, My Hanh Pham +3 · 1 citation
Computer Science · Mathematics · #Coding theory and cryptography #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Graph theory and applications

paper · pdf · doi:10.48550/arxiv.2409.20161

openalex publication_date 2024/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute the regularity of powers and symbolic powers of edge ideals of all cubic circulant graphs. In particular, we establish Conjecture of Minh for cubic circulant graphs.

Cited by

• Associated primes of the second power of closed neighborhood ideals of graphs

Related

• Regularity of Symbolic Powers of Edge Ideals
• Upper bounds for the regularity of symbolic powers of certain classes of edge ideals
• Regularity of symbolic powers of edge ideals of unicyclic graphs
• Symbolic powers of edge ideals of graphs
• Algebraic invariants of edge ideals of cubic circulant graphs