【摘 要】
:
设j,k和m是3个正整数.给定一个图G.设f:V(G)→{0,1,…,m-1}是一个映射.如果对图G的任意一对相邻顶点u和v都有|f(u)-f(v)|m≥j,对任意一对距离为二的顶点都有|f(u)-f(v)|m≥k,
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设j,k和m是3个正整数.给定一个图G.设f:V(G)→{0,1,…,m-1}是一个映射.如果对图G的任意一对相邻顶点u和v都有|f(u)-f(v)|m≥j,对任意一对距离为二的顶点都有|f(u)-f(v)|m≥k,其中|a-b|m=min{|a-b|,m-|a-b|},则称f是图G的一个圆m-L(j,k)-标号.使得图G有圆m-L(j,k)-标号的最小的正整数m称为图G的圆L(j,k)-标号数,记为σj,k(G).对任意2个满足j≤k的正整数,确定了树以及2个完全图的笛卡尔乘积图和直积图的圆L(j,k)-标号数.
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