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强乘积图的连通度
引用本文:孙犁,徐俊明.强乘积图的连通度[J].中国科学技术大学学报,2006,36(3):241-243,248.
作者姓名:孙犁  徐俊明
作者单位:中国科学技术大学数学系,安徽,合肥,230026
基金项目:Supported by NNSF of China ( 10271114).
摘    要:用k1>0和δi表示图Gi(i=1,2)的连通度和最小度,给出了无向图强乘积的连通度一个下界κ(G1(□×)G2)≥min{κ1(1+δ2),k2(1+δ1)}.

关 键 词:  连通度  强乘积图  最小度
文章编号:0253-2778(2006)03-0241-03
收稿时间:2004-12-09
修稿时间:2004-12-092005-10-17

Connectivity of strong product graphs
SUN Li,XU Jun-ming.Connectivity of strong product graphs[J].Journal of University of Science and Technology of China,2006,36(3):241-243,248.
Authors:SUN Li  XU Jun-ming
Abstract:The symbols κi, δi are used to denote the connectivity and the minimum degree of a graph Gi for i = 1,2. κ(G1(□×)G2 ) ≥ min{κ1 (1 + δ2 ) ,κ2 (1 + δ1 ) } is established if G1 and G2 are connected undirected graphs, where G1(□×)G2 is the strong product of G1 and G2.
Keywords:graph  connectivity  strong product graphs  minimum degree
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