圈的距离不大于5的任意两点可区别的全染色

D(5)-Vertex Distinguishing Total Coloring of Cycle

所谓图的D(β)-点可区别全染色是指图G的一个正常全染色且使得距离不大于β的任意2点有不同的色集合.文献[2]讨论了图的距离等于2和3的点可区别全染色,文献[3]讨论了图的距离等于4的点可区别全染色.本文主要讨论了圈的D(5)-点可区别的全染色.

D（β）-vertex-distinguishing total coloring of graph G is a proper total coloring of graph G,which any two vertices whose distance is not large than β have different color sets.In this article,D（5）-vertex-distinguishing total coloring of the cycle are discussed.