Depth and Stanley depth of the quotient rings of edge ideals of some lobster trees and unicyclic graphs

DOI10.55730/1300-0098.3239zbMath1497.13031OpenAlexW4285159898MaRDI QIDQ5103897

Adnan Iqbal, Muhammad Ishaq

Publication date: 9 September 2022

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.55730/1300-0098.3239

zbMATH Keywords

monomial idealdepthunicyclic graphedge idealStanley depthStanley decompositionlobster tree

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• A lower bound of Stanley depth of monomial ideals
• A lower bound for depths of powers of edge ideals
• Linear Diophantine equations and local cohomology
• On a conjecture of R. P. Stanley. II: Quotients modulo monomial ideals
• Values and bounds for depth and Stanley depth of some classes of edge ideals
• Stanley conjecture in small embedding dimension
• A non-partitionable Cohen-Macaulay simplicial complex
• How to compute the Stanley depth of a monomial ideal
• Special Stanley Decompositions
• An inequality between depth and Stanley depth
• Depth and Stanley Depth of Multigraded Modules
• Depths of Powers of the Edge Ideal of a Tree
• Depth and Stanley depth of the edge ideals of square paths and square cycles

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