Decreasing behavior of the depth functions of edge ideals

DOI10.1007/s10801-023-01278-8arXiv2212.14792OpenAlexW4388939299MaRDI QIDQ6154420

Ha Thi Thu Hien, Ngô Viêt Trung, Ha Minh Lam

Publication date: 15 February 2024

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.14792

zbMATH Keywords

graphindependent setdepthsymbolic powerdominating setear decompositionedge idealdegree complexideal power

Mathematics Subject Classification ID

Dimension theory, depth, related commutative rings (catenary, etc.) (13C15) Combinatorial aspects of commutative algebra (05E40) Theory of modules and ideals in commutative rings described by combinatorial properties (13C70)

Cites Work

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• Embedded associated primes of powers of square-free monomial ideals
• Associated primes of powers of edge ideals and ear decompositions of graphs
• Stability of depths of powers of edge ideals

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