Homological invariants of edge ideals of weighted oriented graphs

2025/04/13 by Trung Chau, Chau, Trung, Richie Sheng +3
Computer Science · Mathematics · #05C70 #05E40 #13D02 #13F55 #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.2504.09703

openalex publication_date 2025/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine all possible triples of depth, dimension, and regularity of edge ideals of weighted oriented graphs with a fixed number of vertices. Also, we compute all the possible Betti table sizes of edge ideals of weighted oriented trees and bipartite~graphs with a fixed number of vertices.

Related

• Projective dimension and regularity of edge ideal of some weighted oriented graphs
• Betti numbers of weighted oriented graphs
• Tuples of homological invariants of edge ideals
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