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Author: VivekKumarSingh07

Chapter-14/Hamiltonian.java

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+import java.util.Scanner;
+
+class Hamiltonian {
+    static int[][] graph;
+    static int[] soln;
+    static int n, count = 0;
+
+    public static void main(String[] args) {
+        Scanner scanner = new Scanner(System.in);
+
+        System.out.println("Enter Number of Vertices");
+        n = scanner.nextInt();
+
+        graph = new int[n + 1][n + 1];
+        System.out.println("Enter Adjacency Matrix");
+        for (int i = 1; i <= n; i++) {
+            for (int j = 1; j <= n; j++) {
+                graph[i][j] = scanner.nextInt();
+            }
+        }
+
+        soln = new int[n + 1];
+
+        System.out.println("Hamiltonian Cycle are");
+
+        soln[1] = 1;
+        hamiltonian(2);
+
+        if (count == 0) {
+            System.out.println("No Hamiltonian Cycle");
+        }
+    }
+
+    static void hamiltonian(int k) {
+        while (true) {
+            nextValue(k);
+
+            if (soln[k] == 0) {
+                return;
+            }
+            if (k == n) {
+                printArray();
+            } else {
+                hamiltonian(k + 1);
+            }
+        }
+    }
+
+    static void nextValue(int k) {
+        while (true) {
+
+            soln[k] = (soln[k] + 1) % (n + 1);
+
+            if (soln[k] == 0) {
+                return;
+            }
+
+            if (graph[soln[k - 1]][soln[k]] != 0) {
+                int j;
+                for (j = 1; j < k; j++) {
+                    if (soln[j] == soln[k]) {
+                        break;
+                    }
+                }
+
+                if (j == k) {
+ 
+                    if (k < n || (k == n && graph[soln[n]][soln[1]] != 0)) {
+                        return;
+                    }
+                }
+            }
+        }
+    }
+
+    static void printArray() {
+        count += 1;
+        for (int i = 1; i <= n; i++) {
+            System.out.print(soln[i] + " ");
+        }
+        System.out.println(soln[1]);
+    }
+}