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22.KruskalAlgorithm.cpp

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+/*
+ *  This function takes a graph from the user and finds a minimum
+ *  spanning tree using
+ *  Kruskal's Algorithm
+ *
+ *      Coded by: Abdurrezak Efe
+ *
+ * */
+
+#include <iostream>
+#include <algorithm>
+#include <vector>
+using namespace std;
+typedef pair< int , int> edge;
+
+class Graph{
+
+public:
+
+    vector <pair<int , edge >> edges;
+    int v;
+
+    Graph(int v, int e)
+    {
+        //edges.resize(e);
+        this->v = v;
+    }
+
+    void add_edge(int x, int y, int w)
+    {
+        edge ee = {x,y};
+        pair<int, edge> newedge= {w, ee};
+        edges.push_back(newedge);
+    }
+
+};
+
+//function to what set a vertex belongs to
+int find_parent(int x, int par[])
+{
+    if(par[x] == x)
+        return x;
+    return  par[x] = find_parent(par[x], par);
+}
+
+void Kruskal(Graph g)
+{
+    int par[g.v+1];
+    for(int i=0;i<g.v+1;i++)
+        par[i] = i;
+
+    //sorting edges acoording to their weights
+    sort(g.edges.begin(),g.edges.end());
+
+    vector<pair<int,int>> mst;
+
+    for(int i=0;i<g.edges.size();i++)
+    {
+        int u,v;
+        u = g.edges[i].second.first;
+        v = g.edges[i].second.second;
+
+        if(find_parent(u, par) != find_parent(v, par))
+        {
+            mst.push_back(g.edges[i].second);
+            par[find_parent(v, par)] = find_parent(u, par);
+        }
+    }
+
+    for(int i=0;i<mst.size();i++)
+        cout << mst[i].first << " " << mst[i].second << endl;
+}
+
+int main()
+{
+    int v,e;
+    cin >> v >> e;
+
+    //constructing the graph
+    Graph g(v,e);
+    int x,y,w;
+    for(int i=0;i<e;i++)
+        cin >> x >> y >> w, g.add_edge(x,y,w);
+
+    Kruskal(g);
+}