/// <summary>
/// The result will get printed out to the console and
/// you should copy then and get the image elsewhere.
///
/// The printed result will be formatted as json file for convenience.
/// </summary>
public void HW4P4Print(
int n = 1000,
double p_start = 0.002,
double p_end = 0.02,
int N = 10)
{
double[] EdgeDensity = new double[N];
StringBuilder sb = new StringBuilder();
sb.AppendLine("[");
for (double P = p_start, delta = (p_end - p_start) / N;
P <= p_end;
P += delta)
{
var G = new ColoringGraph(RandGraph(n, P));
//output.WriteLine($"Ded Distribution with p = {P}; n = {n};");
sb.AppendLine("{");
sb.AppendLine($"\t\"p\":{P},");
sb.AppendLine($"\t\"n\":{n},");
foreach (KeyValuePair <int, int> kvp in G.GetDegStats())
{
sb.AppendLine($"\t\"{kvp.Key}\": {kvp.Value},");
}
sb.Remove(sb.Length - 3, 2);
sb.AppendLine("},");
}
sb.Remove(sb.Length - 3, 2);
sb.AppendLine("]");
output.WriteLine(sb.ToString());
}
/// <summary>
/// Generate a random graph and then use it to color it.
///
/// This method investigate:
/// How much color is needed on average for a graph with 1000
/// vertex, where p varies from 0.002 to 0.02
/// </summary>
public static string RandomGraphColoringReport(
int n = 1000,
double p_start = 0.002,
double p_end = 0.02,
int N = 10, // Increment for edge density
int samples = 100
)
{
StringBuilder sb = new StringBuilder();
sb.AppendLine("[");
for (double p = p_start, delta = (p_end - p_start) / N; p <= p_end; p += delta)
{
sb.AppendLine("{");
sb.AppendLine($"\"n\":{n},");
sb.AppendLine($"\"p\":{p},");
double avgColorUsed = Double.NaN;
for (int I = 0; I < samples; I++)
{
var aRandomGraph = new ColoringGraph(RandGraph(n, p));
avgColorUsed = Double.IsNaN(avgColorUsed) ? 0 : avgColorUsed;
avgColorUsed += aRandomGraph.ColorUsed();
}
avgColorUsed /= samples;
sb.AppendLine($"\"AvgColor\": {avgColorUsed}");
sb.AppendLine("},");
}
sb.AppendLine("]");
return(sb.ToString());
}
/// <summary>
/// This is a static method that
/// </summary>
public void ColoringTest()
{
ColoringGraph thehypercube = HyperCubeConfigurations();
int[] colors = thehypercube.GetColors();
output.WriteLine("Verfies it by hand: ");
for (int I = 0; I < colors.Length; I++)
{
output.WriteLine($"{I}:{colors[I]}");
}
}
public static ColoringGraph HyperCubeConfigurations()
{
int[] aggregate = new int[] { 0, 1, 0, 2, 0, 4,
3, 2, 3, 1, 3, 6,
2, 7, 1, 5,
7, 6, 6, 5, 5, 4, 4, 7 };
int[] arr1 = new int[12], arr2 = new int[12];
for (int I = 0; I < arr1.Length; I++)
{
arr1[I] = aggregate[2 * I];
arr2[I] = aggregate[2 * I + 1];
}
int n = 8;
ColoringGraph res = ColoringGraph.MakeGraph(n, arr1, arr2);
return(res);
}
