public int[] getShortestPath(UndirectedGraph g, int vertex)
{
Queue<int> q = new Queue<int>();
q.Enqueue(vertex);
//set up the entire distance matrix with -1 except for the vertex node
for (int i = 0; i < g.getTotalVertices(); i++)
{
distanceMatrix[i] = -1;
}
//set up current vertex with 0 because there will be no distance
distanceMatrix[vertex] = 0;
while (q.Count > 0)
{
int v = q.Dequeue();
Console.Write(v); //this is the breadth first traversal
ArrayList adjacent = g.Adjacent(v);
//loop through all the adjacent nodes, if the currentVertex is still -1, then go in and do process
for (int i = 0; i < adjacent.Count; i++)
{
int currentVertex = (int)adjacent[i];
if (distanceMatrix[currentVertex] == -1)
{
//add one to the distanceMatrix here because it's going to be from v to the current path
distanceMatrix[currentVertex] = distanceMatrix[v] + 1;
pathMatrix[currentVertex] = v;
q.Enqueue(currentVertex);
}
}
}
return distanceMatrix;
}
public UndirectedGraphBreadthFirst(UndirectedGraph g)
{
marked = new bool[g.getTotalVertices()];
distanceMatrix = new int[g.getTotalVertices()];
pathMatrix = new int[g.getTotalVertices()];
visitedMatrix = new State[g.getTotalVertices()];
}
public static void main()
{
UndirectedGraph g = new UndirectedGraph(13);
g.AddEdge(0, 6);
g.AddEdge(0, 2);
g.AddEdge(0, 1);
g.AddEdge(0, 5);
g.AddEdge(1, 0);
g.AddEdge(2, 0);
g.AddEdge(3, 5);
g.AddEdge(3, 4);
g.AddEdge(4, 5);
g.AddEdge(4, 6);
g.AddEdge(4, 3);
g.AddEdge(5, 3);
g.AddEdge(5, 4);
g.AddEdge(5, 0);
g.AddEdge(6, 0);
g.AddEdge(6, 4);
g.AddEdge(7, 8);
g.AddEdge(8, 7);
g.AddEdge(9, 11);
g.AddEdge(9, 10);
g.AddEdge(9, 12);
g.AddEdge(10, 9);
g.AddEdge(11, 9);
g.AddEdge(11, 12);
g.AddEdge(12, 11);
g.AddEdge(12, 9);
UndirectedGraphDepthFirst depthFirst = new UndirectedGraphDepthFirst(g);
depthFirst.search(g, 8);
Queue<int> q = depthFirst.getPath();
Console.WriteLine("Path is: ");
foreach (int value in q)
{
Console.Write(value + " ");
}
for(int i = 0; i < g.getTotalEdges(); i++)
{
if (depthFirst.pathExists(i) != false)
{
Console.Write(i);
}
}
Console.WriteLine("Connected: " + depthFirst.isConnected(g));
}
public void dfs(UndirectedGraph g, int vertex){
marked[vertex] = true;
id[vertex] = count;
size[vertex]++;
ArrayList adjacent = g.Adjacent(vertex);
for (int i = 0; i < adjacent.Count; i++)
{
int currentVertex = (int) adjacent[i];
if(!marked[currentVertex]){
dfs(g, currentVertex);
}
}
}
private int[] size; //number of vertices in a connected component
public ConnectedComponentGraph(UndirectedGraph g)
{
marked = new bool[g.getTotalVertices()];
id = new int[g.getTotalVertices()];
size = new int[g.getTotalVertices()];
for (int i = 0; i < g.getTotalVertices(); i++)
{
if (!marked[i])
{
dfs(g, i);
count++;
}
}
}
public static void main()
{
UndirectedGraph g = new UndirectedGraph(13);
g.AddEdge(0, 5);
g.AddEdge(4, 5);
g.AddEdge(0, 1);
g.AddEdge(9, 12);
g.AddEdge(6, 4);
g.AddEdge(5, 4);
g.AddEdge(0, 2);
g.AddEdge(11, 12);
g.AddEdge(9, 10);
g.AddEdge(0, 6);
g.AddEdge(7, 8);
g.AddEdge(9, 11);
g.AddEdge(5, 3);
ConnectedComponentGraph cc = new ConnectedComponentGraph(g);
Console.WriteLine("Total connected components: " + cc.numberOfConnectedComponent());
//display vertices in each connnected component
Dictionary<int, Queue<int>> dict = new Dictionary<int, Queue<int>>();
for (int i = 0; i < cc.numberOfConnectedComponent(); i++)
{
dict[i] = new Queue<int>();
}
for (int i = 0; i < g.getTotalVertices(); i++)
{
dict[cc.connectedComponentId(i)].Enqueue(i);
}
for (int i = 0; i < cc.numberOfConnectedComponent(); i++)
{
Console.WriteLine("\n");
Console.WriteLine("Component: " + i);
while (dict[i].Count > 0)
{
Console.Write(dict[i].Dequeue() + " ");
}
}
}
//do a depth first search on a vertex to find out all the vertices it has a path to. This also prints out all the vertices
public void search(UndirectedGraph graph, int vertex)
{
totalPaths++;
marked[vertex] = true;
ArrayList adj = graph.Adjacent(vertex);
path.Enqueue(vertex);
//this is how it traverses
//Console.WriteLine(vertex);
for(int i = 0; i< adj.Count; i++)
{
int currentVertex = (int) adj[i];
if (marked[currentVertex] != true)
{
search(graph, currentVertex);
}
}
}
public SymbolGraph(String filename, Char delimiter)
{
//create all as vertices
symbolTable = new Dictionary<string, int>();
allLines = System.IO.File.ReadAllLines(@filename);
int count = 0;
foreach (string line in allLines)
{
String[] items = line.Split(delimiter);
for(int i = 0; i < items.Length; i++){
if(!symbolTable.ContainsKey(items[i])){
symbolTable[items[i]] = count;
count++;
}
}
}
//invert index to get string keys as an array
keys = new String[symbolTable.Count];
count = 0;
foreach (KeyValuePair<string, int> pair in symbolTable)
{
keys[count] = pair.Key;
count++;
}
//create graph from dictionary
graph = new UndirectedGraph(symbolTable.Count);
for (int i = 0; i < allLines.Length; i++)
{
String[] items = allLines[i].Split(delimiter);
for (int j = 1; j < items.Length; j++)
{
graph.AddEdge(symbolTable[items[0]], symbolTable[items[j]]);
}
}
}
static void Main(string[] args)
{
UndirectedGraph g = new UndirectedGraph(6);
g.AddEdge(0, 2);
g.AddEdge(0, 1);
g.AddEdge(0, 5);
g.AddEdge(1, 0);
g.AddEdge(1, 2);
g.AddEdge(2, 0);
g.AddEdge(2, 1);
g.AddEdge(2, 3);
g.AddEdge(2, 4);
g.AddEdge(3, 5);
g.AddEdge(3, 4);
g.AddEdge(3, 2);
g.AddEdge(4, 3);
g.AddEdge(4, 2);
g.AddEdge(5, 3);
g.AddEdge(5, 0);
UndirectedGraphBreadthFirst br = new UndirectedGraphBreadthFirst(g);
int[] shortestPath = br.getShortestPath(g,5);
//br.bfs(g, 5);
}
public void bfs(UndirectedGraph g, int vertex)
{
Queue<int> q = new Queue<int>();
//set up the entire visitedMatrix with -1 except for the vertex node
for (int i = 0; i < g.getTotalVertices(); i++)
{
visitedMatrix[i] = State.Unvisited;
}
//mark root with 1 to sat it's visited
visitedMatrix[vertex] = State.Visiting;
q.Enqueue(vertex);
while (q.Count > 0)
{
int v = q.Dequeue();
Console.WriteLine(v);
marked[v] = true;
//get all adjacent
ArrayList adj = g.Adjacent(v);
for (int i = 0; i < adj.Count; i++)
{
int currentVertex = (int) adj[i];
if (visitedMatrix[currentVertex] == State.Unvisited)
{
q.Enqueue(currentVertex);
visitedMatrix[currentVertex] = State.Visiting;
}
}
visitedMatrix[v] = State.Visited;
marked[v] = false;
}
}
public static void main()
{
UndirectedGraph g = new UndirectedGraph(13);
g.AddEdge(0, 6);
g.AddEdge(0, 2);
g.AddEdge(0, 1);
g.AddEdge(0, 5);
g.AddEdge(1, 0);
g.AddEdge(2, 0);
g.AddEdge(3, 5);
g.AddEdge(3, 4);
g.AddEdge(4, 5);
g.AddEdge(4, 6);
g.AddEdge(4, 3);
g.AddEdge(5, 3);
g.AddEdge(5, 4);
g.AddEdge(5, 0);
g.AddEdge(6, 0);
g.AddEdge(6, 4);
g.AddEdge(7, 8);
g.AddEdge(8, 7);
g.AddEdge(9, 11);
g.AddEdge(9, 10);
g.AddEdge(9, 12);
g.AddEdge(10, 9);
g.AddEdge(11, 9);
g.AddEdge(11, 12);
g.AddEdge(12, 11);
g.AddEdge(12, 9);
}
public Boolean isConnected(UndirectedGraph g)
{
return totalPaths == g.getTotalVertices();
}
public UndirectedGraphDepthFirst(UndirectedGraph graph)
{
marked = new bool[graph.getTotalVertices()];
path = new Queue<int>();
totalPaths = 0;
}
public static void main()
{
UndirectedGraph g = new UndirectedGraph(6);
g.AddEdge(0, 2);
g.AddEdge(0, 1);
g.AddEdge(0, 5);
g.AddEdge(1, 0);
g.AddEdge(1, 2);
g.AddEdge(2, 0);
g.AddEdge(2, 1);
g.AddEdge(2, 3);
g.AddEdge(2, 4);
g.AddEdge(3, 5);
g.AddEdge(3, 4);
g.AddEdge(3, 2);
g.AddEdge(4, 3);
g.AddEdge(4, 2);
g.AddEdge(5, 3);
g.AddEdge(5, 0);
UndirectedGraphBreadthFirst br = new UndirectedGraphBreadthFirst(g);
//int[] shortestPath = br.getShortestPath(g, 0);
br.bfs(g, 5);
}