令G=(V(G),E(G))是一个简单有限无向图.如果V(G)的子集S中任意两个顶点均不相邻,则S是图G的一个独立集.顶点独立集大小的最大值,称为图G的独立数,记作α(G).本文研究了循环图C(n;{1,k})的独立数问题,并给出了当k=2,3,4,5时的准确值.
Let G = (V(G), E(G)) be a simple finite undirected graph. A set S lohtain .in V(G) is an independent set if no twovertices of S are adjacent. The independence number α(G) is the maximum cardinality of an independent set in G. In this paper, we study the independence number of the circulant graphs, and give the exact values of C(n; {1, k}) for k= 2,3,4,5.