对一个正常的全染色满足各种颜色所染元素数(点或边)相差不超过1时,称为均匀全染色,其所用最少染色数称为均匀全色数.本文证明了图在若干情况下的均匀全色数定理,得到了Cm∨Sn,Cm∨Fn和Cm∨Wn的均匀全色数.
A total-coloring is called equitable if ||Ti|-|Tj||≤1,the |Ti| is called chromatic number of the color.The minimum number of colors required for an equitable proper total-coloring,a simple graph G is denoted by x(et)(G).In this paper,we have proved theorems of equitable total coloring of graph and got equitable total chromatic number of Cm∨Sn,Cm∨Fn and Cm∨Wn.