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 (4)

• On the Behaviour of Stanley Depth under Variable Adjunction
• On the Stanley Depth of Squarefree Veronese Ideals
• Values and bounds of the Stanley depth
• Upper bounds for the Stanley depth