Depth and Stanley depth of the path ideal associated to an $n$-cyclic graph

DOI10.3906/mat-1603-114zbMath1424.13018arXiv1612.08177OpenAlexW2963562495MaRDI QIDQ4633358

Guangjun Zhu

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.08177

zbMATH Keywords

Stanley depthcyclic graphpath idealStanley inequality

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

• Interval partitions and Stanley depth
• Linear Diophantine equations and local cohomology
• A non-partitionable Cohen-Macaulay simplicial complex
• How to compute the Stanley depth of a monomial ideal
• Stanley Decompositions, Pretty Clean Filtrations and Reductions Modulo Regular Elements
• A Survey on Stanley Depth
• On the Stanley depth of edge ideals of line and cyclic graphs
• Depth and Stanley Depth of Multigraded Modules
• Depths of Powers of the Edge Ideal of a Tree
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