1 citations · 1 across the 12 of their papers we have counts for
12 papers
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…
Projective dimension and regularity of edge ideals of some vertex-weighted oriented unicyclic graphs
Guangjun Zhu, Hong Wang
In this paper we provide some exact formulas for the projective dimension and the regularity of edge ideals of vertex-weighted oriented unicyclic graphs. These formulas are in func…
Integral closure and normality of edge ideals of some edge-weighted graphs
Shiya Duan, Guangjun Zhu, Yijun Cui +1
Let be an edge-weighted simple graph. In this paper, we give a complete characterization of the graph whose edge ideal is integrally closed. We also show that…