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笛卡尔乘积图Cm×Cn的符号边domatic数

董启启,陈忠,李向军,谭来军

Journal of Yangtze University(Natural Science Edition)（2018）

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Abstract
记无向图G=(V,E),V和E分别是图G的顶点集和边集,NG(e)表示图G中与边e相邻边的集合,NG[e]=NG(e)U{e},Cn表示阶为n的圈.研究了Cm×Cn(n≥m≥4)的符号边domatic数,给出了其上界及下界.研究结果表明,对于n≥m≥4,Cm×Cn的符号边domatic数为3或者5.
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