Stanley depth of edge ideals

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.

7 pages

References in corpus (7)

• Stanley Conjecture in small embedding dimension
• Stanley conjecture on intersections of four monomial prime ideals
• On the Stanley Depth of Squarefree Veronese Ideals
• On the Behaviour of Stanley Depth under Variable Adjunction
• On a conjecture of Stanley depth of squarefree Veronese ideals
• Upper bounds for the Stanley depth
• Values and bounds of the Stanley depth

Cited by in corpus (1)

• Stanley depth and complete $k$-partite hypergraphs