Merge pull request UTSAVS26#1095 from shuvojitss/box-3

Added the program to check Bipartite Graph

Algorithms_and_Data_Structures/Graph/Bipartite_Graph.py

@@ -0,0 +1,43 @@
+from collections import deque
+
+def is_bipartite(adj_matrix, V):
+    # Initialize colors array with -1 (uncolored)
+    color = [-1] * V
+    # Process each component of the graph
+    for start in range(V):
+        # If the vertex is already colored, skip it
+        if color[start] != -1:
+            continue
+        # Start BFS from this node
+        q = deque([start])
+        color[start] = 0  # Color the starting vertex with 0
+        while q:
+            node = q.popleft()
+
+            for neighbor in range(V):
+                # Check if there's an edge between node and neighbor
+                if adj_matrix[node][neighbor] == 1:
+                    # If the neighbor hasn't been colored, color it with the opposite color
+                    if color[neighbor] == -1:
+                        color[neighbor] = 1 - color[node]
+                        q.append(neighbor)
+                    # If the neighbor has the same color as the current node, the graph is not bipartite
+                    elif color[neighbor] == color[node]:
+                        return False
+    # If we successfully colored the graph, it's bipartite
+    return True
+
+def main():
+    V = int(input("Enter the number of vertices: "))
+    adj_matrix = [[0] * V for _ in range(V)]
+    print("Enter the adjacency matrix:")
+    for i in range(V):
+        adj_matrix[i] = list(map(int, input().split()))
+
+    if is_bipartite(adj_matrix, V):
+        print("The graph is bipartite.")
+    else:
+        print("The graph is not bipartite.")
+
+if __name__ == "__main__":
+    main()

Project-Structure.md

@@ -106,6 +106,7 @@
       * [Unique-Paths](Algorithms_and_Data_Structures/Dynamic-Programming-Series/Medium-DP-Problems/unique-paths.py)
   * Graph
     * [Adjacency Matrix](Algorithms_and_Data_Structures/Graph/Adjacency_Matrix.py)
+    * [Bipartite Graph](Algorithms_and_Data_Structures/Graph/Bipartite_Graph.py)
     * [Graph Cloning](Algorithms_and_Data_Structures/Graph/Graph_Cloning.py)
     * [Menu Driven Code Bfs Traversal](Algorithms_and_Data_Structures/Graph/Menu_driven_code_BFS_Traversal.py)
     * [Menu Driven Code Dfs Traversal](Algorithms_and_Data_Structures/Graph/Menu_driven_code_DFS_Traversal.py)