public FordFulkersonAlgorithm(Graph Graph)
{
InnerGraph = (Graph)Graph.Clone();
BreadthFirstSearch = new BreadthFirstSearchAlgorithm(InnerGraph);
DepthFirstSearch = new DepthFirstSearchAlgorithm(InnerGraph);
FoundPath = new Node[InnerGraph.NumberOfNodes];
CapacityOfFlow = 0.0;
}
public bool FindMaximumFlowWithBFSRealization(Node Start, Node Target)
{
if (Start.Equals(Target))
{
CapacityOfFlow = 0.0;
return(true);
}
Node CurrentNode = new Node();
for (; BreadthFirstSearch.BreadthFirstSearch(Start, Target, FoundPath);)
{
double CurrentStreamCapacity = Infinity;
for (int Index = Target.Index; Index != Start.Index; Index = FoundPath[Index].Index)
{
CurrentNode = FoundPath[Index];
CurrentStreamCapacity = Min(CurrentStreamCapacity, InnerGraph.FindEdge(CurrentNode, InnerGraph.SetOfNodes[Index]).Weight);
}
for (int Index = Target.Index; Index != Start.Index; Index = FoundPath[Index].Index)
{
InnerGraph.FindEdge(CurrentNode, InnerGraph.SetOfNodes[Index]).Weight -= CurrentStreamCapacity;
InnerGraph.FindEdge(InnerGraph.SetOfNodes[Index], CurrentNode).Weight += CurrentStreamCapacity;
}
CapacityOfFlow += CurrentStreamCapacity;
BreadthFirstSearch = new BreadthFirstSearchAlgorithm(InnerGraph);
}
return(true);
}
static void Main(string[] args)
{
Graph.AddNode(new Node(7, "0", new Coordinate(0, 0)));
Graph.AddNode(new Node(7, "1", new Coordinate(50, 100)));
Graph.AddNode(new Node(7, "2", new Coordinate(100, 0)));
Graph.AddNode(new Node(7, "3", new Coordinate(0, 200)));
Graph.AddNode(new Node(7, "4", new Coordinate(250, 200)));
Graph.AddNode(new Node(7, "5", new Coordinate(50, 250)));
Graph.AddNode(new Node(7, "6", new Coordinate(150, 250)));
Graph.AddTwoWayEdge(new Edge(7, Graph.SetOfNodes[0], Graph.SetOfNodes[1]));
Graph.AddTwoWayEdge(new Edge(5, Graph.SetOfNodes[0], Graph.SetOfNodes[3]));
Graph.AddTwoWayEdge(new Edge(8, Graph.SetOfNodes[1], Graph.SetOfNodes[2]));
Graph.AddTwoWayEdge(new Edge(7, Graph.SetOfNodes[1], Graph.SetOfNodes[4]));
Graph.AddTwoWayEdge(new Edge(9, Graph.SetOfNodes[1], Graph.SetOfNodes[3]));
Graph.AddTwoWayEdge(new Edge(5, Graph.SetOfNodes[2], Graph.SetOfNodes[4]));
Graph.AddTwoWayEdge(new Edge(15, Graph.SetOfNodes[3], Graph.SetOfNodes[4]));
Graph.AddTwoWayEdge(new Edge(6, Graph.SetOfNodes[3], Graph.SetOfNodes[5]));
Graph.AddTwoWayEdge(new Edge(8, Graph.SetOfNodes[5], Graph.SetOfNodes[4]));
Graph.AddTwoWayEdge(new Edge(11, Graph.SetOfNodes[5], Graph.SetOfNodes[6]));
Graph.AddTwoWayEdge(new Edge(9, Graph.SetOfNodes[6], Graph.SetOfNodes[4]));
NewGraph.AddNode(new Node(7, "0", new Coordinate(0, 0)));
NewGraph.AddNode(new Node(7, "1", new Coordinate(50, 100)));
NewGraph.AddNode(new Node(7, "2", new Coordinate(100, 0)));
NewGraph.AddNode(new Node(7, "3", new Coordinate(0, 200)));
NewGraph.AddNode(new Node(7, "4", new Coordinate(500, 100)));
NewGraph.AddNode(new Node(7, "5", new Coordinate(50, 250)));
NewGraph.AddNode(new Node(7, "6", new Coordinate(150, 250)));
NewGraph.AddOneWayEdge(new Edge(7, NewGraph.SetOfNodes[0], NewGraph.SetOfNodes[1]));
NewGraph.AddOneWayEdge(new Edge(5, NewGraph.SetOfNodes[0], NewGraph.SetOfNodes[3]));
NewGraph.AddOneWayEdge(new Edge(8, NewGraph.SetOfNodes[1], NewGraph.SetOfNodes[2]));
NewGraph.AddOneWayEdge(new Edge(7, NewGraph.SetOfNodes[1], NewGraph.SetOfNodes[4]));
NewGraph.AddOneWayEdge(new Edge(9, NewGraph.SetOfNodes[1], NewGraph.SetOfNodes[3]));
NewGraph.AddOneWayEdge(new Edge(5, NewGraph.SetOfNodes[2], NewGraph.SetOfNodes[4]));
NewGraph.AddOneWayEdge(new Edge(15, NewGraph.SetOfNodes[3], NewGraph.SetOfNodes[4]));
NewGraph.AddOneWayEdge(new Edge(6, NewGraph.SetOfNodes[3], NewGraph.SetOfNodes[5]));
NewGraph.AddOneWayEdge(new Edge(8, NewGraph.SetOfNodes[5], NewGraph.SetOfNodes[4]));
NewGraph.AddOneWayEdge(new Edge(11, NewGraph.SetOfNodes[5], NewGraph.SetOfNodes[6]));
NewGraph.AddOneWayEdge(new Edge(9, NewGraph.SetOfNodes[4], NewGraph.SetOfNodes[6]));
DepthFirstSearchAlgorithm DFS = new DepthFirstSearchAlgorithm(Graph);
BreadthFirstSearchAlgorithm BFS = new BreadthFirstSearchAlgorithm(Graph);
KruscalAlgorithm KruskalTreeSearch = new KruscalAlgorithm(Graph);
PrimAlgorithm PrimTreeSearch = new PrimAlgorithm(Graph);
BellmanFordAlgorithm BellmanFordPathSearch = new BellmanFordAlgorithm(Graph);
DijkstraAlgorithm DijkstraPathSearch = new DijkstraAlgorithm(Graph);
FloydWarshallAlgorithm FloydWarshallPathSearch = new FloydWarshallAlgorithm(Graph);
JohnsonAlgorithm JohnsonPathSearch = new JohnsonAlgorithm(Graph);
AStarAlgorithm AStarPathSearch = new AStarAlgorithm(Graph);
Console.WriteLine("[Current Graph]\n", Color.Green);
Console.WriteLine("[0] [2]");
Console.WriteLine("|\\ /|");
Console.WriteLine("| \\ 7 8/ |");
Console.WriteLine("| \\ / |5");
Console.WriteLine("|5 \\ / |");
Console.WriteLine("| [1] |");
Console.WriteLine("| 9 / \\7 |");
Console.WriteLine("| / \\ |");
Console.WriteLine("| / 15 \\ |");
Console.WriteLine("[3]--------[4]");
Console.WriteLine(" \\ / \\ ");
Console.WriteLine(" \\ 8/ \\9");
Console.WriteLine(" 6 \\ / \\");
Console.WriteLine(" \\ / \\");
Console.WriteLine(" [5]---------[6]");
Console.WriteLine(" 11\n");
Console.WriteLine("[1 : Depth First Search]\n", Color.Green);
DFS.DepthFirstSearch(Graph.SetOfNodes[0]);
Utilities.PrintResult(DFS.ResultOfSearching);
Console.WriteLine();
Console.WriteLine("[2 : Breadth First Search]\n", Color.Green);
BFS.BreadthFirstSearch(Graph.SetOfNodes[0]);
Utilities.PrintResult(BFS.ResultOfSearching);
Console.WriteLine();
FordFulkersonAlgorithm FordFulkersonStreamSearch = new FordFulkersonAlgorithm(NewGraph);
Console.WriteLine($"[3 : Kruskal Tree Search]\n", Color.Green);
KruskalTreeSearch.FindMinimumSpanningTree();
Utilities.PrintResult(KruskalTreeSearch.MinimumSpanningTree);
Console.WriteLine();
Console.WriteLine($"[4 : Prim Tree Search]\n", Color.Green);
PrimTreeSearch.FindMinimumSpanningTree();
Utilities.PrintResult(PrimTreeSearch.MinimumSpanningTree);
Console.WriteLine();
Console.WriteLine("[5 : Bellman-Ford Path Search]\n", Color.Green);
BellmanFordPathSearch.FindTheShortestPathes(Graph.SetOfNodes[0]);
Utilities.PrintResult(BellmanFordPathSearch.ShortestPathes, Graph.SetOfNodes[0]);
Console.WriteLine("[6 : Dijkstra Path Search]\n", Color.Green);
DijkstraPathSearch.FindTheShortestPathes(Graph.SetOfNodes[0]);
Utilities.PrintResult(DijkstraPathSearch.ShortestPathes, Graph.SetOfNodes[0]);
FloydWarshallPathSearch.FindAllTheShortestPathes();
Console.WriteLine("[7 : Floyd-Warshall Path Search]\n", Color.Green);
Utilities.PrintResult(FloydWarshallPathSearch.MatrixOfTheShortesPathes);
Console.WriteLine();
JohnsonPathSearch.FindAllTheShortestPathes();
Console.WriteLine("[8 : Johnson Path Search]\n", Color.Green);
Utilities.PrintResult(JohnsonPathSearch.MatrixOfTheShortesPathes);
Console.WriteLine();
Console.WriteLine("[9 : Ford-Fulkerson Stream Search]\n", Color.Green);
FordFulkersonStreamSearch.FindMaximumFlowWithDFSRealization(NewGraph.SetOfNodes[0], NewGraph.SetOfNodes[6]);
Console.WriteLine($"Maximum stream capacity is : {FordFulkersonStreamSearch.CapacityOfFlow}");
Console.WriteLine();
Console.WriteLine("[10 : A* Path Search]\n", Color.Green);
AStarPathSearch.FindTheShortesPath(Graph.SetOfNodes[0], Graph.SetOfNodes[6]);
Utilities.PrintResult(AStarPathSearch.ShortesPath);
Console.ReadKey();
}
