K_(1,3,p)和K_(1,4,p)的点可区别的IE-全染色及一般全染色

Vertex-distinguishing IE-total coloring and general-total coloring of K_(1,3,p) and K_(1,4,p)

利用色集事先分配法,构造染色法,反证法探讨了完全三部图K_(1,3,p)和K_(1,4,p)的点可区别IE-全染色和点可区别一般全染色问题,确定了K_(1,3,p)和K_(1,4,p)的点可区别IE-全色数和点可区别一般全色数。

The vertex-distinguishing IE-total coloring and vertex-distinguishing general total coloring of complete tripartite graphs K1,3,pand K1,4,p are discussed by distributing the color sets in advance,constructing the colorings and proving by contradiction. The vertex-distinguishing IE-total chromatic number and vertex-distinguishing general total chromatic number of K1,3,p and K1,4,p have been determined.