8 files changed, 763 insertions, 109 deletions
diff --git a/.vscode/launch.json b/.vscode/launch.json
index 7f48531..0f7ced4 100644
--- a/.vscode/launch.json
+++ b/.vscode/launch.json
@@ -5,39 +5,17 @@
     "version": "0.2.0",
     "configurations": [
         {
-            "name": ".NET Core Launch (console)",
+            "name": "lots-o-graphs",
             "type": "coreclr",
             "request": "launch",
             "preLaunchTask": "build",
             "program": "${workspaceFolder}/src/Program/bin/Debug/net5.0/Program.dll",
             "args": [
-                "../../graphs/Project4Graph2.txt",
-                "0",
-                "6"
+                "../../graphs"
             ],
             "cwd": "${workspaceFolder}/src/Program",
             "console": "integratedTerminal",
             "stopAtEntry": false
         },
-        {
-            "name": "smol graff",
-            "type": "coreclr",
-            "request": "launch",
-            "preLaunchTask": "build",
-            "program": "${workspaceFolder}/src/Program/bin/Debug/net5.0/Program.dll",
-            "args": [
-                "../../graphs/Project4Graph1.txt",
-                "0",
-                "5"
-            ],
-            "cwd": "${workspaceFolder}/src/Program",
-            "console": "integratedTerminal",
-            "stopAtEntry": false
-        },
-        {
-            "name": ".NET Core Attach",
-            "type": "coreclr",
-            "request": "attach"
-        }
     ]
 }
 \ No newline at end of file
diff --git a/graphs/celegansneural.graph b/graphs/celegansneural.graph
new file mode 100644
index 0000000..961595d
--- /dev/null
+++ b/graphs/celegansneural.graph
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diff --git a/graphs/florida-bay.graph b/graphs/florida-bay.graph
new file mode 100644
index 0000000..05545f1
--- /dev/null
+++ b/graphs/florida-bay.graph
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diff --git a/graphs/karateWeighted.graph b/graphs/karateWeighted.graph
new file mode 100644
index 0000000..72a6161
--- /dev/null
+++ b/graphs/karateWeighted.graph
@@ -0,0 +1,34 @@
+0 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 10 1 11 1 12 1 13 1 17 1 19 1 21 1 31 1
+1 0 1 2 1 3 1 7 1 13 1 17 1 19 1 21 1 30 1
+2 0 1 1 1 3 1 7 1 8 1 9 1 13 1 27 1 28 1 32 1
+3 0 1 1 1 2 1 7 1 12 1 13 1
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+5 0 1 6 1 10 1 16 1
+6 0 1 4 1 5 1 16 1
+7 0 1 1 1 2 1 3 1
+8 0 1 2 1 30 1 32 1 33 1
+9 2 1 33 1
+10 0 1 4 1 5 1
+11 0 1
+12 0 1 3 1
+13 0 1 1 1 2 1 3 1 33 1
+14 32 1 33 1
+15 32 1 33 1
+16 5 1 6 1
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+20 32 1 33 1
+21 0 1 1 1
+22 32 1 33 1
+23 25 1 27 1 29 1 32 1 33 1
+24 25 1 27 1 31 1
+25 23 1 24 1 31 1
+26 29 1 33 1
+27 2 1 23 1 24 1 33 1
+28 2 1 31 1 33 1
+29 23 1 26 1 32 1 33 1
+30 1 1 8 1 32 1 33 1
+31 0 1 24 1 25 1 28 1 32 1 33 1
+32 2 1 8 1 14 1 15 1 18 1 20 1 22 1 23 1 29 1 30 1 31 1 33 1
+33 8 1 9 1 13 1 14 1 15 1 18 1 19 1 20 1 22 1 23 1 26 1 27 1 28 1 29 1 30 1 31 1 32 1
diff --git a/graphs/polbooksWeighted.graph b/graphs/polbooksWeighted.graph
new file mode 100644
index 0000000..d3a32ed
--- /dev/null
+++ b/graphs/polbooksWeighted.graph
@@ -0,0 +1,105 @@
+0 1 1 2 1 3 1 4 1 5 1 6 1
+1 0 1 3 1 5 1 6 1
+2 0 1 4 1 5 1 7 1
+3 0 1 1 1 5 1 8 1 9 1 10 1 11 1 12 1 13 1 14 1 15 1 16 1 17 1 18 1 19 1 20 1 21 1 22 1 23 1 24 1 25 1 26 1 27 1
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+7 2 1 5 1 6 1 14 1 30 1 58 1 71 1 85 1
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diff --git a/src/NetworkFlow/Graph.cs b/src/NetworkFlow/Graph.cs
index a66732d..3b0d879 100644
--- a/src/NetworkFlow/Graph.cs
+++ b/src/NetworkFlow/Graph.cs
@@ -1,22 +1,36 @@
 using System;
 using System.Collections.Generic;
+using System.Linq;
 
 namespace NetworkFlow
 {
     using Nodes = Dictionary<int, Node>;
     using Path = List<int>;
-    public class Graph
+    public class Graph : ICloneable
     {
 
         Dictionary<int, Node> _nodes;
+        public bool Undirected;
 
         public Nodes Nodes { get => _nodes; set => _nodes = value; }
 
-        public Graph()
+        public Graph(bool undirected = false)
         {
+            Undirected = undirected;
             Nodes = new Nodes();
         }
 
+        public Graph(Graph o)
+        {
+            Undirected = o.Undirected;
+            Nodes = o.Nodes.ToDictionary(entry => entry.Key,
+                                       entry => (Node)entry.Value.Clone());
+        }
+
+        public Graph ShallowCopy() => (Graph)this.MemberwiseClone();
+        public object Clone() => new Graph(this);
+        // public object Clone() => new Graph(this._nodes, Undirected);
+
         /// <summary>
         /// Indexer; Retrieves the node with node.Id of <c>id</c> 
         /// </summary>
@@ -31,8 +45,14 @@ namespace NetworkFlow
         /// </summary>
         public void AddNode(int id)
         {
-            if (!this.Nodes.ContainsKey(id))
-                this.Nodes.Add(id, new(id));
+            this.Nodes.TryAdd(id, new(id));
+        }
+
+        public void RemoveNode(int id)
+        {
+            if (this[id].Edges.Count > 1)
+                throw new Exception("Removing this node would leave orphaned edges");
+            this.Nodes.Remove(id);
         }
 
         /// <summary>
@@ -41,7 +61,20 @@ namespace NetworkFlow
         public void AddEdge(int u, int v, double capacity)
         {
             AddNode(u);
-            this[u].Edges.Add(v, capacity);
+            AddNode(v);
+
+            if (!Nodes[u].Edges.TryAdd(v, capacity))
+                Nodes[u].Edges[v] += capacity;
+
+            if (Undirected && !Nodes[v].Edges.TryAdd(u, capacity))
+                Nodes[v].Edges[u] += capacity;
+        }
+
+        public void RemoveEdge(int u, int v)
+        {
+            Nodes[u].Edges.Remove(v);
+            if (Undirected && Nodes[v].Edges.ContainsKey(u))
+                Nodes[v].Edges.Remove(u);
         }
 
         /// <summary>
@@ -50,6 +83,24 @@ namespace NetworkFlow
         public void ChangeEdge(int u, int v, double capacity)
             => this[u].Edges[v] -= capacity;
 
+
+        public Graph ToUndirected()
+        {
+            Graph graph = new Graph(undirected: true);
+
+            foreach (var node in Nodes.Values)
+                foreach (var edge in node.Edges)
+                {
+                    graph.AddNode(node.Id);
+
+                    // if child node does not have an edge pointing back to parent
+                    if (!this[edge.Key].Edges.ContainsKey(node.Id))
+                        graph.AddEdge(edge.Key, node.Id, edge.Value);
+                }
+
+            return graph;
+        }
+
         /// <summary>
         /// Finds the maximum flow possible from the <c>source</c> 
         /// node to the <c>terminal</c> node.
@@ -129,9 +180,46 @@ namespace NetworkFlow
             // return an empty path if a path to terminal node was not found
             return new();
         }
+
+
+        public double Contraction()
+        {
+
+            Random random = new Random();
+
+            // while nodes > 2
+            while (Nodes.Count > 2)
+            {
+                // pick a random edge
+                Node node = Nodes.Values.ElementAt(random.Next(0, Nodes.Count));
+
+                int u = node.Id;
+                int v = node.Edges.Keys.ElementAt(random.Next(0, node.Edges.Count));
+
+                // redirect edges of one node (v) to other node (u)
+                // this includes changing the edges that point to v for each node that v has in its edges
+                foreach (var edge in Nodes[v].Edges)
+                    if (edge.Key != u)
+                    {
+                        AddEdge(u, edge.Key, edge.Value);
+                        RemoveEdge(v, edge.Key);
+                    }
+
+                // remove the edge from both sides (u and v)
+                RemoveEdge(u, v);
+
+                // delete node whose edges were redirected (v)
+                RemoveNode(v);
+            }
+
+            // return the sum of the remaining edges' weights
+            return Nodes.ElementAt(0).Value.Edges.ElementAt(0).Value;
+        }
+
+
     }
 
-    public struct Node
+    public struct Node : ICloneable
     {
         public int Id { get; set; }
         public Dictionary<int, double> Edges { get; set; }
@@ -141,5 +229,14 @@ namespace NetworkFlow
             Id = id;
             Edges = new();
         }
+
+        public Node(Node o)
+        {
+            Id = o.Id;
+            Edges = o.Edges.ToDictionary(entry => entry.Key,
+                                       entry => entry.Value);
+        }
+
+        public object Clone() => new Node(this);
     }
 }
 \ No newline at end of file
diff --git a/src/Program/Analysis.cs b/src/Program/Analysis.cs
new file mode 100644
index 0000000..d0a49cb
--- /dev/null
+++ b/src/Program/Analysis.cs
@@ -0,0 +1,78 @@
+
+using System;
+using System.Collections.Generic;
+using System.Diagnostics;
+using NetworkFlow;
+
+namespace Program
+{
+    public struct Result
+    {
+        public double MinCut;
+        public TimeSpan Runtime;
+
+        public Result(double minCut, TimeSpan runtime)
+        {
+            MinCut = minCut;
+            Runtime = runtime;
+        }
+    }
+
+    class Analysis
+    {
+        Result ExactResult;
+        Dictionary<int, List<Result>> ApproxResults = new();
+        Func<int, int>[] IterFuncs = new Func<int, int>[] { n => 10, n => n, n => (int)(Math.Pow(n, 2) * Math.Log(n, Math.E)) };
+        Graph _graph;
+
+        public Analysis(Graph graph)
+        {
+            _graph = graph;
+        }
+
+        public void Analize()
+        {
+            Stopwatch stopwatch = new();
+            double result = CalculateExact((Graph)_graph.Clone());
+            ExactResult = new(result, stopwatch.Elapsed);
+
+            foreach (var iterFunc in IterFuncs)
+            {
+                int iterations = iterFunc(_graph.Nodes.Count);
+                ApproxResults.Add(iterations, new());
+
+                for (int i = 0; i < 5; i++)
+                {
+                    stopwatch.Restart();
+                    result = CalculateApprox(_graph, iterations);
+                    ApproxResults[iterations].Add(new(result, stopwatch.Elapsed));
+                }
+            }
+        }
+
+        double CalculateExact(Graph graph) => graph.MaxFlow(0, graph.Nodes.Count - 1);
+
+        double CalculateApprox(Graph graph, int iterations)
+        {
+            double result = double.MaxValue;
+
+            for (int j = 0; j < iterations; j++){
+                var graphClone = (Graph)_graph.Clone();
+                result = Math.Min(result, graphClone.Contraction());
+            }
+
+            return result;
+        }
+
+        public override string ToString()
+        {
+            string outString = $"Exact Value: {ExactResult.MinCut}, Exact Runtime: {ExactResult.Runtime}\n";
+
+            foreach (var results in ApproxResults)
+                foreach (var result in results.Value)
+                    outString += $"Approx Value: {result.MinCut}, Approx Runtime: {result.Runtime}";
+
+            return outString;
+        }
+    }
+}
+\ No newline at end of file
diff --git a/src/Program/Program.cs b/src/Program/Program.cs
index 90e80bd..6aab0a3 100644
--- a/src/Program/Program.cs
+++ b/src/Program/Program.cs
@@ -1,104 +1,40 @@
 using System;
 using System.Collections.Generic;
+using System.Diagnostics;
 using System.IO;
 using System.Linq;
 using Graph = NetworkFlow.Graph;
 
 namespace Program
 {
+
     class Program
     {
         static void Main(string[] args)
         {
-            // attempt to read file from command line args, otherwise asks for a file
-            FileInfo inputFile = (args.Length > 0) ? new FileInfo(args[0]) : ReadFileName();
-
-            // attempt to get source and terminal nodes from command line args
-            string source = (args.Length >= 2) ? args[1] : default(string);
-            string terminal = (args.Length >= 3) ? args[2] : default(string);
+            List<Analysis> Analysii = new();
+            DirectoryInfo graphDir = new DirectoryInfo((args.Length > 0) ? args[0] : "graphs");
 
-
-            if (!inputFile.Exists)
+            if (!graphDir.Exists)
             {
-                Console.WriteLine($"Failed to open {inputFile}: File does not exist.");
-                return;
+                Console.WriteLine($"Failed to open {graphDir}: Graph does not exist.");
+                System.Environment.Exit(1);
             }
-
-            // read file into graph
-            Graph graph = ReadFile(inputFile.FullName);
-
-            // verify command line source and terminal values or gets new values from the user
-            (int s, int t) = ReadSourceAndTerminal(graph, source, terminal);
-
-            // call maxFlow
-            double maxFlow = graph.MaxFlow(s, t);
-            Console.WriteLine($"The max flow is {maxFlow}");
-        }
-
-        public static (int s, int t) ReadSourceAndTerminal(Graph graph, string source, string terminal)
-        {
-            int s, t;
-            // retries until it succeeds
-            while (true)
+            
+            foreach (var file in graphDir.EnumerateFiles())
             {
-                // try to parse supplied values
-                bool isSetSource = int.TryParse(source, out s);
-                bool isSetTerminal = int.TryParse(terminal, out t);
-
-                // validates the values are ints and the graph contains the corresponding node
-                if (!(isSetSource && graph.Nodes.ContainsKey(s)))
-                {
-                    if (source != default(string))
-                        Console.WriteLine($"Invalid Source Node: {source}");
-                    Console.Write($"Enter the Source Node: ");
-                    // asks for a new value
-                    source = Console.ReadLine();
-                }
-                // validates the values are ints and the graph contains the corresponding node
-                if (!(isSetTerminal && graph.Nodes.ContainsKey(t)))
-                {
-                    if (terminal != default(string))
-                        Console.WriteLine($"Invalid Terminal Node: {terminal}");
-                    Console.Write($"Enter the Terminal Node: ");
-                    // asks for a new value
-                    terminal = Console.ReadLine();
-                }
-                // if everything is correct then we can return
-                if (isSetSource && isSetTerminal && graph.Nodes.ContainsKey(s) && graph.Nodes.ContainsKey(t))
-                    break;
-            }
-
-
-            return (s, t);
-        }
-
-        public static FileInfo ReadFileName()
-        {
-            string filePath;
-
-            // continues to ask for a valid filepath until obtained
-            while (true)
-            {
-                Console.Write("Enter a path to a points file: ");
-                filePath = Console.ReadLine();
-
-                if (String.IsNullOrEmpty(filePath))
-                    Console.WriteLine("File path cannot be empty!");
-                else if (!System.IO.File.Exists(filePath))
-                    Console.WriteLine($"{filePath} does not exist.");
-                else
-                    break;
+                Graph graph = ReadFile(file.FullName);
+                Analysis analysis = new(graph);
+                analysis.Analize();
+                Analysii.Add(analysis);
+                Console.WriteLine(analysis.ToString());
             }
-
-            FileInfo file = new FileInfo(filePath);
-
-            return file;
         }
 
         public static Graph ReadFile(string file)
         {
             // create default Graph object
-            Graph graph = new Graph();
+            Graph graph = new Graph(undirected: true);
 
             // Read in graph file
             foreach (string line in File.ReadLines(file))
@@ -122,5 +58,6 @@ namespace Program
             // return object when done
             return graph;
         }
+        
     }
 }