Abstract:

We studied adjacent vertexdistinguishingequitable total coloring (AVDETC) of some double graphs, and developed the adjacent vertexdistinguishingequitable total chromatic numbers of double graphs of even order complete graph, even order cycle, path, star and wheel  using constructive method and matching method, which satisfies the conjecture on AVDETCC.

Key words: double graph, adjacent vertexdistinguishingequitable total coloring, adjacent vertexdistinguishingequitable total chromatic number