Associated primes of powers of edge ideals of edge-weighted trees

2025/09/05 by Li, Jiaxin, Trung, Tran Nam, Zhu, Guangjun · 1 citation
#05C05 #13F20 Secondary 05E40 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13C05

paper · doi:10.48550/arxiv.2509.04774

Abstract

In this paper, we give a complete description of the associated primes of each power of the edge ideal of an increasing weighted tree.

Citations

• Colorings of hypergraphs, perfect graphs, and associated primes of\n powers of monomial ideals
• Embedded Associated Primes of Powers of Square-free Monomial Ideals

Cited by

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

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• Powers of edge ideals of edge-weighted trees
• Saturation and associated primes of powers of edge ideals
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