// Display edges with weights.
public void PrintWeightedEdges()
{
for (int i = 0; i < queues.Count; i++)
{
Console.Write(GetVertex(i) + " (" + i + "): ");
PriorityQueue <WeightedEdge> queue = queues[i];
for (int j = 0; j < queue.Count(); j++)
{
WeightedEdge edge = queue[j];
Console.Write("(" + edge.u + ", " + edge.v + ", " + edge.weight + ") ");
}
Console.WriteLine();
}
}
// Find single-source shortest paths.
public ShortestPathTree <E> GetShortestPath(int sourceVertex)
{
// T contains the vertices of paths found so far.
List <int> T = new List <int>();
// T initially contains the source vertex.
T.Add(sourceVertex);
int numberOfVertices = vertices.Count;
// parent[v] stores the previous vertex of v in the path.
int[] parent = new int[numberOfVertices];
parent[sourceVertex] = -1;
// cost[v] stores the cost of the path from v to the source.
float[] cost = new float[numberOfVertices];
for (int i = 0; i < cost.Count(); i++)
{
cost[i] = float.MaxValue;
}
// Cost of source is 0.
cost[sourceVertex] = 0;
// Get a copy of PriorityQueues.
List <PriorityQueue <WeightedEdge> > PriorityQueues = DeepClone(queues);
// Expand T
while (T.Count < numberOfVertices)
{
int v = -1; // Vertex to be determined.
float smallestCost = float.MaxValue; // Set to infinity.
foreach (int u in T)
{
while (!(queues[u].Count() == 0) && T.Contains(PriorityQueues[u].Peek().v))
{
// Remove the vertex in PriorityQueue for u.
// We suppose to remove an edge with minimum weight.
PriorityQueues[u].Dequeue();
}
if (queues[u].Count() == 0)
{
continue; // All vertices adjacent to u are in T.
}
WeightedEdge edge = PriorityQueues[u].Peek();
if (cost[u] + edge.weight < smallestCost)
{
v = edge.v;
smallestCost = cost[u] + edge.weight;
parent[v] = u; // If v is added to the tree, u will be its parent.
}
}
T.Add(v); // Add a new vertex to T.
cost[v] = smallestCost;
}
return(new ShortestPathTree <E>(vertices, sourceVertex, parent, T, cost));
}
// Create and return a minimum spinning tree.
public MinimumSpanningTree <E> GetMinimumSpinningTree(int startingVertex)
{
List <int> tree = new List <int>();
// Initially the tree contains a starting vertex.
tree.Add(startingVertex);
int numberOfVertices = vertices.Count;
int[] parent = new int[numberOfVertices];
// Initially set the parent of all vertices to -1.
for (int i = 0; i < parent.Count(); i++)
{
parent[i] = -1;
}
float totalWeight = 0;
// Clone the priority PriorityQueue, so to keep the original PriorityQueue intact.
List <PriorityQueue <WeightedEdge> > PriorityQueues = DeepClone(queues);
// Check whether all vertices are found.
while (tree.Count < numberOfVertices)
{
//Search for the vertex with the smallest edge adjacent to a vertex in a minimumSpinningTree.
int v = -1;
float smallestWeight = float.MaxValue;
foreach (int u in tree)
{
while (!(queues[u].Count() == 0) && tree.Contains(PriorityQueues[u].Peek().v))
{
// Remove the edge from PriorityQueues[u] if the adjacent vertex of u is already in tree.
// I doubt this the deque method.
PriorityQueues[u].Dequeue();
}
if (queues[u].Count() == 0)
{
continue; // Consider the next vertex in tree.
}
WeightedEdge edge = PriorityQueues[u].Peek();
if (edge.weight < smallestWeight)
{
v = edge.v;
smallestWeight = edge.weight;
// If v is added to tree, u will be its parent.
parent[v] = u;
}
}
if (v != -1)
{
tree.Add(v);
}
else
{
break;
}
totalWeight += smallestWeight;
}
return(new MinimumSpanningTree <E>(vertices, startingVertex, parent, tree, totalWeight));
}