From f030dc5724773f83e33df80ca83237653b604da4 Mon Sep 17 00:00:00 2001
From: Utkarsh <116446311+code-with-utkarsh@users.noreply.github.com>
Date: Sat, 22 Oct 2022 21:56:17 +0530
Subject: [PATCH] Create m Coloring Problem.py

m Coloring Problem using Backtracking in Python
---
 .../m Coloring Problem.py                     | 53 +++++++++++++++++++
 1 file changed, 53 insertions(+)
 create mode 100644 Basic Python Pratice Program/m Coloring Problem.py

diff --git a/Basic Python Pratice Program/m Coloring Problem.py b/Basic Python Pratice Program/m Coloring Problem.py
new file mode 100644
index 0000000..4997401
--- /dev/null
+++ b/Basic Python Pratice Program/m Coloring Problem.py	
@@ -0,0 +1,53 @@
+# Python3 program for solution of M Coloring
+# problem using backtracking
+ 
+ 
+class Graph():
+ 
+    def __init__(self, vertices):
+        self.V = vertices
+        self.graph = [[0 for column in range(vertices)]
+                      for row in range(vertices)]
+ 
+    # A utility function to check
+    # if the current color assignment
+    # is safe for vertex v
+    def isSafe(self, v, colour, c):
+        for i in range(self.V):
+            if self.graph[v][i] == 1 and colour[i] == c:
+                return False
+        return True
+ 
+    # A recursive utility function to solve m
+    # coloring  problem
+    def graphColourUtil(self, m, colour, v):
+        if v == self.V:
+            return True
+ 
+        for c in range(1, m + 1):
+            if self.isSafe(v, colour, c) == True:
+                colour[v] = c
+                if self.graphColourUtil(m, colour, v + 1) == True:
+                    return True
+                colour[v] = 0
+ 
+    def graphColouring(self, m):
+        colour = [0] * self.V
+        if self.graphColourUtil(m, colour, 0) == None:
+            return False
+ 
+        # Print the solution
+        print("Solution exist and Following are the assigned colours:")
+        for c in colour:
+            print(c, end=' ')
+        return True
+ 
+ 
+# Driver Code
+if __name__ == '__main__':
+    g = Graph(4)
+    g.graph = [[0, 1, 1, 1], [1, 0, 1, 0], [1, 1, 0, 1], [1, 0, 1, 0]]
+    m = 3
+ 
+    # Function call
+    g.graphColouring(m)