S-系的子系交图  

Intersection graph of subacts of S-acts

作　　者：乔虎生 成欣怡 QIAO Hu-sheng;CHENG Xin-yi(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu,China)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《西北师范大学学报(自然科学版)》2025年第2期10-13,共4页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12461003);甘肃省基础研究创新群体项目(23JRRA684)。

摘　　要：设S是幺半群,M是S-系,M的子系的交图记为G(M).G(M)是简单无向图,它的顶点集由M的非平凡子系构成,顶点集中任意不同的两点是相邻的当且仅当两个非平凡子系不相交.研究了S-系的子系交图的完全性、连通性、直径、围长等性质.Let S be a monoid and M be an S-act.The subact intersection graph of M denoted by G(M),where G(M)is a simple undirected graph.The vertex set of G(M)consists of all non-trivial subacts of M,and any two distinct vertices are adjacent if and only if any two non-trivial subacts are disjoint.The completeness,connectivity,diameter and girth of the intersection graph of subacts of S-acts are discussed.

关 键 词：S-系 连通性 完全性 交图 

分 类 号：O152.7[理学—数学]