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

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

作者机构：School of Mathematical SciencesSoochow University SuzhouJiangsu 215006China 不详 

出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)

年 卷 期：2021年第28卷第2期

页      面：253-268页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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 

主　　题：projective dimension regularity edge ideal cyclic graph with a common vertex cyclic graph with a common edge 

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 *** formulas axe functions in the weight of the vertices,and the numbers of edges and *** examples show that these formulas are related to direction selection and the assumption that w(x)≥2 for any vertex x cannot be dropped.