DEPTHS OF POWERS OF THE EDGE IDEAL OF A TREE

作者：Morey Susan^*

来源：Communications in Algebra, 2010, 38(11): 4042-4055.

DOI：10.1080/00927870903286900

• Depth
• Edge ideal
• Monomial ideal
• Powers of ideals
• Tree

Lower bounds are given for the depths of R/I(t) for t >= 1 when I is the edge ideal of a tree or forest. The bounds are given in terms of the diameter of the tree, or in case of a forest, the largest diameter of a connected component and the number of connected components. These lower bounds provide a lower bound on the power for which the depths stabilize.

• 出版日期2010