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Regularity of powers of edge ideals of edge-weighted integrally closed cycles
Guangjun Zhu, Yijun Cui, Jiaxin Li +1
This paper gives exact formulas for the regularity of powers of edge ideals of an edge-weighted integrally closed cycle.
Regularity of integral closures of edge ideals of weighted oriented graphs
Nguyen Cong Minh, Thanh Vu, Guangjun Zhu
We prove that the regularity cannot increase when taking the integral closure for edge ideals of arbitrary weighted oriented graphs.
Powers of edge ideals of edge-weighted trees
Jiaxin Li, Guangjun Zhu, Shiya Duan
This paper gives exact formulas for the regularity of edge ideals of edge-weighted integrally closed trees. In addition, we provide some linear upper bounds on the regularity of po…
Edge ideals of some edge-weighted graphs
Guangjun Zhu, Shiya Duan, Yijun Cui +1
This paper presents exact formulas for the regularity and depth of powers of edge ideals of an edge-weighted star graph. Additionally, we provide exact formulas for the regularity…
Powers of generalized binomial edge ideals of path graphs
Yi-Huang Shen, Guangjun Zhu
In this article, we study the powers of the generalized binomial edge ideal of a path graph . We explicitly compute their regularities and determine th…
The operation and operation of Cohen-Macaulay bipartite graphs
Yulong Yang, Guangjun Zhu, Yijun Cui +1
Let be a finite simple graph with the vertex set and let be its edge ideal in the polynomial ring . In this paper, we compute the depth and the Cas…