private static Graph buildgraph()
{
gNode n0 = new gNode(0);
gNode n1 = new gNode(1);
gNode n2 = new gNode(2);
gNode n3 = new gNode(3);
gNode n4 = new gNode(4);
gNode n5 = new gNode(5);
gNode n6 = new gNode(6);
gNode n7 = new gNode(7);
gNode n8 = new gNode(8);
Graph graph = new Graph(n0);
graph.AddEdge(n0, n1, 4);
graph.AddEdge(n0, n7, 8);
graph.AddEdge(n1, n7, 11);
graph.AddEdge(n1, n2, 9);
graph.AddEdge(n2, n8, 2);
graph.AddEdge(n7, n8, 7);
graph.AddEdge(n7, n6, 1);
graph.AddEdge(n8, n6, 6);
graph.AddEdge(n6, n5, 2);
graph.AddEdge(n5, n2, 4);
graph.AddEdge(n2, n3, 7);
graph.AddEdge(n3, n5, 14);
graph.AddEdge(n5, n4, 10);
graph.AddEdge(n3, n4, 9);
return graph;
}
public void printEdges()
{
Console.WriteLine("Edges in the graph: ");
for (int i = 0; i < nodeList.Count; i++)
{
gNode n = nodeList[i];
for (int j = 0; j < n.adj.Count; j++)
{
Console.WriteLine("Edge between {0} and {1}: cost = {2}", n.data, n.adj[j].data, n.cost[j]);
}
Console.WriteLine("\n");
}
}
public void AddEdge(gNode a, gNode b, int cost)
{
if (!nodeList.Contains(a))
{
nodeList.Add(a);
}
if (!nodeList.Contains(b))
{
nodeList.Add(b);
}
if (!a.adj.Contains(b))
{
a.adj.Add(b);
a.cost.Add(cost);
}
if (!b.adj.Contains(a))
{
b.adj.Add(a);
b.cost.Add(cost);
}
}
public Graph Dijkstras()
{
Graph minSpan = new Graph(null);
List <gNode> temp = new List <gNode>();
while (nodeList.Count > 0)
{
Heapify(); //place graph in min heap
gNode root = nodeList[0]; //extract node with min key
gNode n = new gNode(root.data);
if (root.parent != null)
{
if (minSpan.start == null)
{
minSpan.start = root.parent;
}
minSpan.AddEdge(root.parent, n, root.key);
root.parent = null;
}
for (int i = 0; i < root.adj.Count; i++)
{
if (root.adj[i].key > (root.cost[i] + root.key))
{
root.adj[i].key = root.cost[i] + root.key;
root.adj[i].parent = n;
}
}
temp.Add(root);
nodeList.RemoveAt(0);
}
nodeList = temp;
return(minSpan);
}
public void BFS(gNode node)
{
Queue <gNode> queue = new Queue <gNode>();
node.visited = true;
queue.Enqueue(node);
gNode cur;
Console.WriteLine("BFS traversal of graph: ");
while (queue.Count > 0)
{
cur = queue.Dequeue();
Console.Write(" {0} ", cur.data);
foreach (gNode n in cur.adj)
{
if (!n.visited)
{
n.visited = true;
queue.Enqueue(n);
}
}
}
}
public Graph(gNode root)
{
start = root;
if(start != null)
start.key = 0;
}
public Graph Prims()
{
Graph minSpan = new Graph(null);
List<gNode> temp = new List<gNode>();
while (nodeList.Count > 0)
{
Heapify(); //place graph in min heap
gNode root = nodeList[0]; //extract node with min key
gNode n = new gNode(root.data);
if (root.parent != null)
{
if (minSpan.start == null)
minSpan.start = root.parent;
minSpan.AddEdge(root.parent, n, root.key);
root.parent = null;
}
for (int i = 0; i < root.adj.Count; i++)
{
if (root.adj[i].key > root.cost[i])
{
root.adj[i].key = root.cost[i];
root.adj[i].parent = n;
}
}
temp.Add(root);
nodeList.RemoveAt(0);
}
nodeList = temp;
return minSpan;
}
public void BFS(gNode node)
{
Queue<gNode> queue = new Queue<gNode>();
node.visited = true;
queue.Enqueue(node);
gNode cur;
Console.WriteLine("BFS traversal of graph: ");
while (queue.Count > 0)
{
cur = queue.Dequeue();
Console.Write(" {0} ", cur.data);
foreach (gNode n in cur.adj)
{
if (!n.visited)
{
n.visited = true;
queue.Enqueue(n);
}
}
}
}
public void AddEdge(gNode a, gNode b, int cost)
{
if (!nodeList.Contains(a))
nodeList.Add(a);
if (!nodeList.Contains(b))
nodeList.Add(b);
if (!a.adj.Contains(b))
{
a.adj.Add(b);
a.cost.Add(cost);
}
if (!b.adj.Contains(a))
{
b.adj.Add(a);
b.cost.Add(cost);
}
}