Algebraic Properties of Edge Ideals of Some Vertex-Weighted Oriented m-Partite Graphs

被引：0
|
作者：
Guangjun Zhu
Hong Wang
Li Xu
Jiaqi Zhang
机构：
[1] Soochow University,School of Mathematical Sciences
来源：
Bulletin of the Brazilian Mathematical Society, New Series | 2021年 / 52卷
关键词：
Projective dimension; Regularity; Edge ideal; Oriented ; -partite graph; Primary 13C10; 13D02; Secondary 05E40; 05C20; 05C22;
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学科分类号：
摘要：
In this paper we will provide the exact formulas for the regularity and projective dimension of edge ideals of three types of vertex-weighted oriented m-partite graphs. We also give some examples to show that the restrictions on orientations of edges and weights of vertices can not be removed.
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页码：1005 / 1023
页数：18
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