D(2)-Vertex Distinguishing Total Coloring of P_n~k(k≡2(mod 3))
Jishun Wang · Shuxue de shijian yu renshi · 2011
A k-proper total coloring is called D(β)-vertex-distinguishing total coloring if every two vertices which distance are not more thanβhave different set of colors.In this paper,the D(2)-vertex-distinguishing total coloring of P_n~k is discussed if k≡2(mod 3) and,at the same time,we obtain the adjacent-vertex-distinguishing total coloring of C_n~2 by regarding the structural relations between P_n~2 and C_n~2.