diff --git a/backtracking/m_coloring_problem.py b/backtracking/m_coloring_problem.py
new file mode 100644
index 000000000000..2c6350f20975
--- /dev/null
+++ b/backtracking/m_coloring_problem.py
@@ -0,0 +1,39 @@
+def isSafe(node, color, graph, n, col):
+    for k in range(n):
+        if graph[node][k] == 1 and col[k] == color:
+            return False
+    return True
+
+
+def solve(node, col, m, n, graph):
+    if node == n:
+        return True
+    for c in range(1, m + 1):
+        if isSafe(node, c, graph, n, col):
+            col[node] = c
+            if solve(node + 1, col, m, n, graph):
+                return True
+            col[node] = 0
+    return False
+
+
+def graphColoring(graph, m, n):
+    col = [0] * n
+    if solve(0, col, m, n, graph):
+        return True
+    return False
+
+
+if __name__ == "__main__":
+    V = int(input())
+    E = int(input())
+    graph = [[0 for _ in range(V)] for _ in range(V)]
+    for _ in range(E):
+        u, v = map(int, input().split())
+        graph[u][v] = 1
+        graph[v][u] = 1
+    m = int(input())
+    if graphColoring(graph, m, V):
+        print("True")
+    else:
+        print("False")