Algebraic Properties of Edge Ideals of Some Vertex-Weighted Oriented Cyclic Graphs  

作　　者：Hong Wang Guangjun Zhu Li Xu Jiaqi Zhang Zhongming Tang 

机构地区：[1]School of Mathematical Sciences,Soochow University Suzhou,Jiangsu 215006,China [2]不详

出　　处：《Algebra Colloquium》2021年第2期253-268,共16页代数集刊（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11271275);the Foundation of the Priority Academic Program Development of Jiangsu Higher Education Institutions。

摘　　要：We provide some exact formulas for the projective dimension and regularity of edge ideals associated to some vertex-weighted oriented cyclic graphs with a common vertex or edge.These formulas axe functions in the weight of the vertices,and the numbers of edges and cycles.Some examples show that these formulas are related to direction selection and the assumption that w(x)≥2 for any vertex x cannot be dropped.

关 键 词：projective dimension REGULARITY edge ideal cyclic graph with a common vertex cyclic graph with a common edge 

分 类 号：O15[理学—数学]