Asymptotic behaviour of the vertex-distinguishing total chromatic numbers of n-cube
Chen Xiang-en · Journal of Northwest Normal University · 2005
Let Q_n be a n-cube,χ___(vt)(G) denote the vertex-distinguishing total chromatic number of a graph G,then(lim)n→∞χ___(vt)(Q_n)n=1+q~*,where q~*=0.293815… is the unique positive solution of the equation(x+1)~(x+1)=2x~x.