Stanley depth of edge ideals

2011/04/06 by Muhammad Ishaq, Ishaq, Muhammad, Muhammad Imran Qureshi +1 · 1 citation
Computer Science · Mathematics · #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #Rings, Modules, and Algebras #math.AC

paper · pdf · doi:10.48550/arxiv.1104.1018

7 pages

arxiv created 2011/04/06 · openalex publication_date 2011/04/06 · arxiv updated 2011/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an upper bound for the Stanley depth of the edge ideal I of a k-partite complete graph and show that Stanley's conjecture holds for I. Also we give an upper bound for the Stanley depth of the edge ideal of a k-uniform complete bipartite hypergraph.

Citations

• Stanley conjecture on intersections of four monomial prime ideals
• On the Stanley Depth of Squarefree Veronese Ideals

Cited by

• Stanley depth and complete k-partite hypergraphs

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