Depth of powers of integrally closed edge ideals of edge-weighted paths

2025/10/17 by Li, Jiaxin, Vu, Thanh, Zhu, Guangjun
#05E40 #13F20 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13B22 #Secondary 05C99

paper · doi:10.48550/arxiv.2510.15660

Abstract

We compute the depth of powers of edge ideals of integrally closed edge-weighted paths.

Citations

• Cohen-Macaulayness of powers of edge ideals of edge-weighted graphs
• Depth of powers of edge ideals of edge-weighted integrally closed cycles
• Normal edge ideals of edge-weighted graphs
• Edge ideals of some edge-weighted graphs
• Depth of powers of edge ideals of Cohen-Macaulay trees
• Integral closure and normality of edge ideals of some edge-weighted graphs
• Depths of Powers of the Edge Ideal of a Tree

Cited by

• Depth and regularity of powers of edge ideals of edge-weighted trees

Related

• Depth of powers of edge ideals of edge-weighted integrally closed cycles
• Edge ideals of some edge-weighted graphs
• Powers of edge ideals of edge-weighted trees
• Regularity of powers of edge ideals of edge-weighted integrally closed cycles
• A Lower Bound For Depths of Powers of Edge Ideals