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| 1 | +// Java program to find strongly connected components in a given directed graph using Tarjan's algorithm |
| 2 | +import java.io.*; |
| 3 | +import java.util.*; |
| 4 | + |
| 5 | + |
| 6 | +public class Graph{ |
| 7 | +private int V; |
| 8 | + |
| 9 | + |
| 10 | +private LinkedList<Integer> adj[]; |
| 11 | +private int Time; |
| 12 | + |
| 13 | +Graph(int v) |
| 14 | +{ |
| 15 | + V = v; |
| 16 | + adj = new LinkedList[v]; |
| 17 | + |
| 18 | + for(int i = 0; i < v; ++i) |
| 19 | + adj[i] = new LinkedList(); |
| 20 | + |
| 21 | + Time = 0; |
| 22 | +} |
| 23 | + |
| 24 | + |
| 25 | +void addEdge(int v,int w) |
| 26 | +{ |
| 27 | + adj[v].add(w); |
| 28 | +} |
| 29 | + |
| 30 | + |
| 31 | +void SCCUtil(int u, int low[], int disc[], |
| 32 | + boolean stackMember[], |
| 33 | + Stack<Integer> st) |
| 34 | +{ |
| 35 | + |
| 36 | + |
| 37 | + disc[u] = Time; |
| 38 | + low[u] = Time; |
| 39 | + Time += 1; |
| 40 | + stackMember[u] = true; |
| 41 | + st.push(u); |
| 42 | + |
| 43 | + int n; |
| 44 | + |
| 45 | + |
| 46 | + Iterator<Integer> i = adj[u].iterator(); |
| 47 | + |
| 48 | + while (i.hasNext()) |
| 49 | + { |
| 50 | + n = i.next(); |
| 51 | + |
| 52 | + if (disc[n] == -1) |
| 53 | + { |
| 54 | + SCCUtil(n, low, disc, stackMember, st); |
| 55 | + |
| 56 | + |
| 57 | + low[u] = Math.min(low[u], low[n]); |
| 58 | + } |
| 59 | + else if (stackMember[n] == true) |
| 60 | + { |
| 61 | + |
| 62 | + |
| 63 | + low[u] = Math.min(low[u], disc[n]); |
| 64 | + } |
| 65 | + } |
| 66 | + |
| 67 | + |
| 68 | + int w = -1; |
| 69 | + if (low[u] == disc[u]) |
| 70 | + { |
| 71 | + while (w != u) |
| 72 | + { |
| 73 | + w = (int)st.pop(); |
| 74 | + System.out.print(w + " "); |
| 75 | + stackMember[w] = false; |
| 76 | + } |
| 77 | + System.out.println(); |
| 78 | + } |
| 79 | +} |
| 80 | + |
| 81 | + |
| 82 | +void SCC() |
| 83 | +{ |
| 84 | + |
| 85 | + |
| 86 | + int disc[] = new int[V]; |
| 87 | + int low[] = new int[V]; |
| 88 | + for(int i = 0;i < V; i++) |
| 89 | + { |
| 90 | + disc[i] = -1; |
| 91 | + low[i] = -1; |
| 92 | + } |
| 93 | + |
| 94 | + boolean stackMember[] = new boolean[V]; |
| 95 | + Stack<Integer> st = new Stack<Integer>(); |
| 96 | + |
| 97 | + |
| 98 | + for(int i = 0; i < V; i++) |
| 99 | + { |
| 100 | + if (disc[i] == -1) |
| 101 | + SCCUtil(i, low, disc, |
| 102 | + stackMember, st); |
| 103 | + } |
| 104 | +} |
| 105 | + |
| 106 | + |
| 107 | +public static void main(String args[]) |
| 108 | +{ |
| 109 | + |
| 110 | + |
| 111 | + Graph g1 = new Graph(5); |
| 112 | + |
| 113 | + g1.addEdge(1, 0); |
| 114 | + g1.addEdge(0, 2); |
| 115 | + g1.addEdge(2, 1); |
| 116 | + g1.addEdge(0, 3); |
| 117 | + g1.addEdge(3, 4); |
| 118 | + System.out.println("SSC in first graph "); |
| 119 | + g1.SCC(); |
| 120 | + |
| 121 | + Graph g2 = new Graph(4); |
| 122 | + g2.addEdge(0, 1); |
| 123 | + g2.addEdge(1, 2); |
| 124 | + g2.addEdge(2, 3); |
| 125 | + System.out.println("\nSSC in second graph "); |
| 126 | + g2.SCC(); |
| 127 | + |
| 128 | + Graph g3 = new Graph(7); |
| 129 | + g3.addEdge(0, 1); |
| 130 | + g3.addEdge(1, 2); |
| 131 | + g3.addEdge(2, 0); |
| 132 | + g3.addEdge(1, 3); |
| 133 | + g3.addEdge(1, 4); |
| 134 | + g3.addEdge(1, 6); |
| 135 | + g3.addEdge(3, 5); |
| 136 | + g3.addEdge(4, 5); |
| 137 | + System.out.println("\nSSC in third graph "); |
| 138 | + g3.SCC(); |
| 139 | + |
| 140 | + Graph g4 = new Graph(11); |
| 141 | + g4.addEdge(0, 1); |
| 142 | + g4.addEdge(0, 3); |
| 143 | + g4.addEdge(1, 2); |
| 144 | + g4.addEdge(1, 4); |
| 145 | + g4.addEdge(2, 0); |
| 146 | + g4.addEdge(2, 6); |
| 147 | + g4.addEdge(3, 2); |
| 148 | + g4.addEdge(4, 5); |
| 149 | + g4.addEdge(4, 6); |
| 150 | + g4.addEdge(5, 6); |
| 151 | + g4.addEdge(5, 7); |
| 152 | + g4.addEdge(5, 8); |
| 153 | + g4.addEdge(5, 9); |
| 154 | + g4.addEdge(6, 4); |
| 155 | + g4.addEdge(7, 9); |
| 156 | + g4.addEdge(8, 9); |
| 157 | + g4.addEdge(9, 8); |
| 158 | + System.out.println("\nSSC in fourth graph "); |
| 159 | + g4.SCC(); |
| 160 | + |
| 161 | + Graph g5 = new Graph (5); |
| 162 | + g5.addEdge(0, 1); |
| 163 | + g5.addEdge(1, 2); |
| 164 | + g5.addEdge(2, 3); |
| 165 | + g5.addEdge(2, 4); |
| 166 | + g5.addEdge(3, 0); |
| 167 | + g5.addEdge(4, 2); |
| 168 | + System.out.println("\nSSC in fifth graph "); |
| 169 | + g5.SCC(); |
| 170 | +} |
| 171 | +} |
| 172 | + |
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