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.
The generality product graphs G1 * G2 of two given graphs G1 and G2 was defined by Bermond et M. [Large graphs with given degree and diameter II, 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.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第17期238-244,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(10801091)
关键词
广义乘积图
3限制边割
3限制边连通度
generality product graphs
3 restricted edge cut
3 restricted edge connectivity