5 papers · 1 filter
Depth of powers of edge ideals of edge-weighted integrally closed cycles
Guangjun Zhu, Jiaxin Li, Yijun Cui +1
This paper gives some exact formulas for the depth of powers of the edge ideal of an edge-weighted integrally closed cycle.
The edge ideals of the join of some vertex weighted oriented graphs
Yijun Cui, Guangjun Zhu, Xiaoqi Wei
In this paper, we describe primary decomposition of the edge ideal of the join of some graphs in terms of that information of the edge ideal of every weighted oriented graph. Meanw…
The facet ideals of matching complexes of line graphs
Guangjun Zhu, Hong Wang, Yijun Cui
Let be a line graph with edges and $\F(L_n)$ the facet ideal of its matching complex. In this paper, we provide the irreducible decomposition of $\F(L_n)$ and some exact…
Freiman -spread principal Borel ideals
Guangjun Zhu, Yakun Zhao, Yijun Cui
An equigenerated monomial ideal is a Freiman ideal if where is the analytic spread of and is the least number of mo…
Freiman cover ideals of unmixed bipartite graphs
Guangjun Zhu, Yakun Zhao, Yijun Cui
An equigenerated monomial ideal in the polynomial ring is a Freiman ideal if where is the analytic spre…