6 papers
Homological shifts of powers a complementary edge ideal
Dancheng Lu, Zexin Wang, Guangjun Zhu
The homological shift algebra and the projective dimension function of complementary edge ideals are investigated. Let be a connected graph, and let be its complementary ed…
Betti Numbers of Edge Ideals of Weighted Oriented Crown Graphs
Zexin Wang, Dancheng Lu
We compute the multigraded Betti numbers of edge ideals for weighted oriented crown graphs using a novel approach. This approach, which we still call the \emph{induced subgraph app…
Betti numbers of normal edge rings (II)
Zexin Wang, Dancheng Lu
We compute the Betti numbers of the edge rings of multi-path graphs using the \emph{induced-subgraph approach} introduced in \cite{WL1}. Here, a multi-path graph refers to a simple…
Betti numbers of normal edge rings (\bf{I})
Zexin Wang, Dancheng Lu
We introduce a novel approach named the {\it induced-subgraph approach} for investigating the Betti numbers of normal edge rings. Utilizing this approach, we compute all the multig…
The Multiplicity of Powers of a Class of Non-Square-free Monomial Ideals
Liuqing Yang, Zexin Wang
Let be a polynomial ring over a field , and let be a monomial ideal of height . We provide a formula for the multi…
The resolutions of generalized co-letterplace ideals and their powers
Dancheng Lu, Zexin Wang
We present a natural and explicit multigraded minimal free resolution for each generalized co-letterplace ideal (see Definition 1.1). Our resolution differs significantly from the…