Regularity of symbolic powers of edge ideals

DOI10.1016/j.jpaa.2020.106306zbMath1436.13041arXiv1903.05313OpenAlexW3000004661WikidataQ126381696 ScholiaQ126381696MaRDI QIDQ2301468

Rajiv Kumar, A. V. Jayanthan

Publication date: 24 February 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.05313

zbMATH Keywords

Castelnuovo-Mumford regularityedge idealsymbolic powers

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Related Items (9)

Survey on Regularity of Symbolic Powers of an Edge Ideal ⋮ Comparison between regularity of small symbolic powers and ordinary powers of an edge ideal ⋮ Regularity of symbolic powers of edge ideals of Cameron-Walker graphs ⋮ Regularity of powers of squarefree monomial ideals ⋮ Certain algebraic invariants of edge ideals of join of graphs ⋮ On the resurgence and asymptotic resurgence of homogeneous ideals ⋮ On regularity of symbolic Rees algebras and symbolic powers of vertex cover ideals of graphs ⋮ Regularity of symbolic powers of edge ideals of chordal graphs ⋮ Upper bounds for the regularity of symbolic powers of certain classes of edge ideals

Cites Work

• Regularity of powers of forests and cycles
• On the ideal theory of graphs
• The regularity of powers of edge ideals
• Regularity of symbolic powers of edge ideals of unicyclic graphs
• Combinatorics of symbolic Rees algebras of edge ideals of clutters
• Implosive graphs: Square-free monomials on symbolic Rees algebras
• On Indecomposable Graphs

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