Ma Gang
Abstract
We studied vertex-distinguishing-equitable total coloring(VDETC) of some mycielski graphs,and developed the vertex-distinguishing-equitable total chromatic numbers of mycielski graphs of path,cycle,star and fan by using constructive method,which satisfy the conjecture on VDETC.
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We studied vertex-distinguishing-equitable total coloring(VDETC) of some mycielski graphs,and developed the vertex-distinguishing-equitable total chromatic numbers of mycielski graphs of path,cycle,star and fan by using constructive method,which satisfy the conjecture on VDETC.
Key concepts: Combinatorics, Vertex (graph theory), Conjecture, Chromatic scale, Mathematics, Brooks' theorem, Constructive, Graph