Some algebraic hyperstructures related to zero forcing sets and forcing digraphs

被引：4
|
作者：
Golmohamadian, M. [1 ]
Zahedi, M. M. [2 ]
Soltankhah, N. [3 ]
机构：
[1] Tarbiat Modares Univ, Dept Math, Tehran, Iran
[2] Kerman Grad Univ Adv Technol, Dept Math, Kerman, Iran
[3] Alzahra Univ, Dept Math, Tehran, Iran
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 10期
关键词：
Zero forcing set; zero forcing process; forcing digraph; hypergroup; join space;
D O I：
10.1142/S0219498819501925
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A zero forcing set is a new concept in Graph Theory which was introduced in recent years. In this paper, we investigate the relationship between zero forcing sets and algebraic hyperstructures. To this end, we present some new definitions by considering a zero forcing process on a graph G. These definitions help us analyze the zero forcing process better and construct various hypergroups and join spaces on the vertex set of graph G. Finally, we give some examples to clarify these hyperstructures.
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收藏
页数：19
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