Stanley depth of the path ideal associated to a line graph

Abstract

We consider the path ideal associated to a line graph, we compute \texttt{sdepth} for its quotient ring and note that it is equal with its \texttt{depth}. In particular, it satisfies the Stanley inequality.

7 pages, it will appear in Mathematical Reports

References in corpus (2)

• A non-partitionable Cohen-Macaulay simplicial complex
• Stanley depth of powers of the path ideal

Cited by in corpus (3)

• A class of square-free monomial ideals associated to two integer sequences
• On the Stanley depth of the path ideal of a cycle graph
• Depth and Stanley depth of the path ideal associated to an $n$-cyclic graph