Beispiel #1
0
        /// <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(KissMe.RandGraph(n, p));
                    avgColorUsed  = Double.IsNaN(avgColorUsed) ? 0 : avgColorUsed;
                    avgColorUsed += aRandomGraph.ColorUsed();
                }
                avgColorUsed /= samples;
                sb.AppendLine($"\"AvgColor\": {avgColorUsed}");
                sb.AppendLine($"}} {(p == p_end ? ' ' : ',')}");
            }
            sb.AppendLine("]");

            return(sb.ToString());
        }
Beispiel #2
0
        /// <summary>
        /// Function will print result for this experiment to the console.
        /// </summary>
        private static void PrintHW3ConnectedComponents()
        {
            int    n     = (int)1e4;
            double range = 1.5e-3;

            int    N     = 30;
            double delta = range / N;

            double[] p = new double[N];
            for (int I = 0; I < N; I++)
            {
                p[I] = Math.Log(n) / n - range + (I + N / 2) * delta;
            }
            WriteLine("The graph has 10^4 vertex and it's randomly generated with different " +
                      "edge density, here is the statistics regarding it's connected components: ");
            WriteLine("Vertex, Edge_Density, TotalComponents, Max_Component_Size" +
                      ", Min_Component_size, Size_SD");
            for (int I = 0; I < p.Length; I++)
            {
                //0, 2, 3, 4
                var G   = KissMe.RandGraph(n, p[I]);
                var g   = new SimpleGraph(G);
                var res = g.ProduceStats();
                WriteLine($"{n}, {p[I]}, {res[0]}, {res[2]}, {res[3]}, {res[4]}");
            }
        }
Beispiel #3
0
        /// <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 static void HW4P4PrintVertexDegreeDistribution(
            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(KissMe.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("]");
            WriteLine(sb.ToString());
        }