摘要
Let f be a proper edge coloring of G using k colors. For each x ∈ V(G), the set of the colors appearing on the edges incident with x is denoted by Sf(x) or simply S(x) if no confusion arise. If S(u) = S(v) and S(v) S(u) for any two adjacent vertices u and v, then f is called a Smarandachely adjacent vertex distinguishing proper edge col- oring using k colors, or k-SA-edge coloring. The minimum number k for which G has a Smarandachely adjacent-vertex-distinguishing proper edge coloring using k colors is called the Smarandachely adjacent-vertex-distinguishing proper edge chromatic number, or SA- edge chromatic number for short, and denoted by Xsa(G). In this paper, we have discussed the SA-edge chromatic number of K4 V Kn.
基金
Supported by NNSF of China(61163037,61163054,61363060)