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广义乘积图的3限制边连通性
3-Restricted Edge Connectivity of Generality Product Graphs
【摘要】 广义乘积图的概念在1984年由Bermond等人提出,Balbuena等人在2007年提出并证明了广义乘积图的边连通度和限制边连通度的上下界.继前人的工作,继续讨论证明了这类图的3限制边连通度的上下界.
【Abstract】 The generality product graphs G1 * G2 of two given graphs G1 and G2 was defined by Bermond et al.[Large graphs with given degree and diameterⅡ,J.Combin. Theorem Ser.B36(1984) 32-48].Balbuena et al.provided and proved edge connectivity and restricted edge connectivity for this kind of graphs[On the dege-connectivity and restricted edge-connectivity of a product of graph,Discrete Applied Mathematics,2007,155:2444- 2455.].The author continues their works,bounds of 3-restricted edge connectivity is given and proved in this paper.
【关键词】 广义乘积图;
3限制边割;
3限制边连通度;
【Key words】 generality product graphs; 3 restricted edge cut; 3 restricted edge connectivity;
【Key words】 generality product graphs; 3 restricted edge cut; 3 restricted edge connectivity;
【基金】 国家自然科学基金(10801091)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2012年17期
- 【分类号】O157.5
- 【下载频次】32