How can I solve graph problems in C#?
You can use various algorithms like Depth-First Search (DFS) or Breadth-First Search (BFS) to solve graph problems in C#. Do you have a specific problem in mind?
Yes, I need to find the shortest path in a weighted graph.
For finding the shortest path in a weighted graph, you can use Dijkstra's algorithm. Would you like a code example?
Yes, please provide a code example for Dijkstra's algorithm.
Here's a simple implementation of Dijkstra's algorithm in C#:
using System;
using System.Collections.Generic;
class Graph {
private int V;
private List<Tuple<int, int>>[] adj;
public Graph(int v) {
V = v;
adj = new List<Tuple<int, int>>[v];
for (int i = 0; i < v; i++)
adj[i] = new List<Tuple<int, int>>();
}
public void AddEdge(int u, int v, int w) {
adj[u].Add(new Tuple<int, int>(v, w));
adj[v].Add(new Tuple<int, int>(u, w)); // For undirected graph
}
public void Dijkstra(int src) {
int[] dist = new int[V];
bool[] sptSet = new bool[V];
for (int i = 0; i < V; i++)
dist[i] = int.MaxValue;
dist[src] = 0;
for (int count = 0; count < V - 1; count++) {
int u = MinDistance(dist, sptSet);
sptSet[u] = true;
foreach (var neighbor in adj[u]) {
int v = neighbor.Item1;
int weight = neighbor.Item2;
if (!sptSet[v] && dist[u] != int.MaxValue && dist[u] + weight < dist[v])
dist[v] = dist[u] + weight;
}
}
PrintSolution(dist);
}
private int MinDistance(int[] dist, bool[] sptSet) {
int min = int.MaxValue, min_index = -1;
for (int v = 0; v < V; v++) {
if (!sptSet[v] && dist[v] <= min) {
min = dist[v];
min_index = v;
}
}
return min_index;
}
private void PrintSolution(int[] dist) {
Console.WriteLine("Vertex Distance from Source");
for (int i = 0; i < V; i++)
Console.WriteLine(i + " " + dist[i]);
}
}
Let me know if you need further assistance!
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