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Tuples of homological invariants of edge ideals

2023/09/22 by Akane Kanno, Kanno, Akane
Mathematics · Medicine · Pharmacology, Toxicology and Pharmaceutics · #05C70 (Secondary) #05E40 #13D02 (Primary) #13F55 #Alkaloids: synthesis and pharmacology #Cholinesterase and Neurodegenerative Diseases #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2309.13034

openalex publication_date 2023/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a graph and I(G) its edge ideal. In this paper, we completely determine the tuples (dim R/I(G), \depth (R/I(G)), \reg (R/I(G))) when the number of vertices is fixed for any graphs G.

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