I am working on a project where I have a world map where I marked several points on it with each point representing a country. I want to implement Djiktra's algorithm to find the shortest path from a source country to a destination county. I searched the web for the algorithm in c# and I found a common solution:
private static int MinimumDistance(int[] distance, bool[] shortestPathTreeSet, int verticesCount)
{
int min = int.MaxValue;
int minIndex = 0;
for (int v = 0; v < verticesCount; ++v)
{
if (shortestPathTreeSet[v] == false && distance[v] <= min)
{
min = distance[v];
minIndex = v;
}
}
return minIndex;
}
private static void Print(int[] distance, int verticesCount)
{
Console.WriteLine("Vertex Distance from source");
for (int i = 0; i < verticesCount; ++i)
Console.WriteLine("{0}\t {1}", i, distance[i]);
}
public static void Dijkstra(int[,] graph, int source, int verticesCount)
{
int[] distance = new int[verticesCount];
bool[] shortestPathTreeSet = new bool[verticesCount];
for (int i = 0; i < verticesCount; ++i)
{
distance[i] = int.MaxValue;
shortestPathTreeSet[i] = false;
}
distance[source] = 0;
for (int count = 0; count < verticesCount - 1; ++count)
{
int u = MinimumDistance(distance, shortestPathTreeSet, verticesCount);
shortestPathTreeSet[u] = true;
for (int v = 0; v < verticesCount; ++v)
if (!shortestPathTreeSet[v] && Convert.ToBoolean(graph[u, v]) && distance[u] != int.MaxValue && distance[u] + graph[u, v] < distance[v])
distance[v] = distance[u] + graph[u, v];
}
Print(distance, verticesCount);
}
And the main class is the following:
int[,] graph = {
{ 0, 4, 0, 0, 0, 0, 0, 8, 0 },
{ 4, 0, 8, 0, 0, 0, 0, 11, 0 },
{ 0, 8, 0, 7, 0, 4, 0, 0, 2 },
{ 0, 0, 7, 0, 9, 14, 0, 0, 0 },
{ 0, 0, 0, 9, 0, 10, 0, 0, 0 },
{ 0, 0, 4, 0, 10, 0, 2, 0, 0 },
{ 0, 0, 0, 14, 0, 2, 0, 1, 6 },
{ 8, 11, 0, 0, 0, 0, 1, 0, 7 },
{ 0, 0, 2, 0, 0, 0, 6, 7, 0 }
};
Dijkstra(graph, 0, 9);
My question is: What is the graph in my case? What are the arguments of the Djikstra function that I should call in my main? Thanks for your help!!