Properties of symbolic powers of edge ideals of weighted oriented graphs

DOI10.1142/s0218196723500406zbMath1527.05082arXiv2205.03765OpenAlexW4378979418MaRDI QIDQ6116697

Dipak Kumar Pradhan, Mousumi Mandal

Publication date: 16 August 2023

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.03765

zbMATH Keywords

treepathsymbolic poweredge idealweighted oriented graphinduced digraph

Mathematics Subject Classification ID

Paths and cycles (05C38) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20) Signed and weighted graphs (05C22) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Symbolic powers of ideals
• Comparing symbolic powers of edge ideals of weighted oriented graphs
• Symbolic powers of sums of ideals
• Monomial ideals of weighted oriented graphs
• Comparison between regularity of small symbolic powers and ordinary powers of an edge ideal
• Symbolic Powers of Monomial Ideals
• Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs
• Symbolic powers in weighted oriented graphs
• Equality of ordinary and symbolic powers of edge ideals of weighted oriented graphs

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