路和圈的广义Mycielski图的L(2,1)标号

The L(2,1)-Labelings on General Mycielski Graph Of Path and Cycle

令G=(V(G),V(G))是一个简单图,Mp(G)为图G广义Mycielski图。图G的L(2,1)标号数,记作λ(G),定义为λ(G)=min{k|G有一个k-L(2,1)标号}。n个顶点的路、圈分别记作Pn,Cn。给出了路和圈的广义Mycielski图的L(2,1)标号数λ(Mp(Pn))和λ(Mp(Cn))。

Let G=（V（G）,V（G）） be a simple graph, Mp（G） is the General Mycielski Graph of G. The L（2,1）-labeling number of G, denoted by λ（G）, is the smallest number k such that G has an L （2, 1）-labeling. The path and cycle with n vertices are denoted by P., C.. In this paper, we derive the L（2,1）-labeling number λ （Mp （Pn） ） and λ （Mp （Cn） ） of General Mycielski Graph of Path and Cycle.