On the inclusion graphs of S-acts

被引：3
|
作者：
Delfan, Abdolhossein [1 ]
Rasouli, Hamid [1 ]
Tehranian, Abolfazl [1 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Tehran, Iran
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2018年 / 18卷 / 03期
关键词：
S-Act; inclusion graph; diameter; girth; domination number;
D O I：
10.22436/jmcs.018.03.10
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we define the inclusion graph Inc(A) of an S-act A which is a graph whose vertices are non-trivial subacts of A and two distinct vertices B-1, B-2 are adjacent if B-1 subset of B-2 or B-2 subset of B-1. We investigate the relationship between the algebraic properties of an S-act A and the properties of the graph Inc(A). Some properties of Inc(A) including girth, diameter and connectivity are studied. We characterize some classes of graphs which are the inclusion graphs of S-acts. Finally, some results concerning the domination number of such graphs are given.
引用
收藏
页码：357 / 363
页数：7
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