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

作者：Zhu, Guangjun^*

来源：Turkish Journal of Mathematics, 2017, 41(5): 1174-1183.

DOI：10.3906/mat-1603-114

• Stanley depth
• Stanley inequality
• path ideal
• cyclic graph

We compute the depth and Stanley depth for the quotient ring of the path ideal of length 3 associated to a n-cyclic graph, given some precise formulas for the depth when n not equivalent to 1 (mod 4), tight bounds when n equivalent to 1 (mod 4), and for Stanley depth when n equivalent to 0, 3 (mod 4), tight bounds when n equivalent to 1, 2 (mod 4). We also give some formulas for the depth and Stanley depth of a quotient of the path ideals of length n - 1 and n.

• 出版日期2017
• 单位苏州大学