Multiplicity of powers of path ideals of a line graph

DOI10.1007/S40840-024-01804-2MaRDI QIDQ6661080

Dancheng Lu, Jiawen Shan, Zexin Wang

Publication date: 10 January 2025

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

zbMATH Keywords

multiplicityline graphpath idealsnormally torsion-free

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Graded rings (13A02) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Title not available (Why is that?)
• Algebraic properties of classes of path ideals of posets
• Corrigendum to ``Path ideals of rooted trees and their graded Betti numbers
• Path ideals of rooted trees and their graded Betti numbers
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• Cohen-Macaulay graphs
• Simplicial trees are sequentially Cohen-Macaulay
• Ideals of powers and powers of ideals. Intersecting algebra, geometry, and combinatorics
• Regularity of edge ideals and their powers
• Betti Numbers of Path Ideals of Trees
• Standard graded vertex cover algebras, cycles and leaves
• Hilbert polynomials and powers of ideals
• Algebraic Properties of the Path Ideal of a Tree
• Asymptotic Stability of Ass(M/I n M)
• Graded Betti numbers of path ideals of cycles and lines
• Monomial Ideals
• Systems of parameters and the Cohen-Macaulay property
• Algebraic implications of neighborhood hypergraphs and their transversal hypergraphs
• Regularity of powers of path ideals of line graphs

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