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为圈分解着色

为质数个顶点的完全图的圈分解着色.

    
Wolfram Language code: ColoringCycles[n_] := Block[{i, e}, e = Table[Mod[#, n, 1]Mod[# + i, n, 1]& /@ Range[n], {i, (n - 1) / 2}]; HighlightGraph[CompleteGraph[n, PlotLabel -> Style[n, 11, FontFamily -> "Verdana"]], Table[Style[e[[i]], ColorData[1][i]], {i, Length[e]}], ImageSize -> {150, 150}]];
Wolfram Language code: graphs = ColoringCycles[#]& /@ {3, 5, 7, 9, 11, 13};
Wolfram Language code: Grid[Partition[graphs, 3], Frame -> All, FrameStyle -> LightGray]