Merge pull request #654 from Himanshu-77/master

Create prims_minimum_spanning.py

Author: ericklarac

README.md

@@ -158,6 +158,7 @@ If you want to uninstall algorithms, it is as simple as:
     - [markov_chain](algorithms/graph/markov_chain.py)
     - [minimum_spanning_tree](algorithms/graph/minimum_spanning_tree.py)
     - [satisfiability](algorithms/graph/satisfiability.py)
+    - [minimum_spanning_tree_prims](algorithms/graph/prims_minimum_spanning.py)
     - [tarjan](algorithms/graph/tarjan.py)
     - [traversal](algorithms/graph/traversal.py)
 	  - [maximum_flow](algorithms/graph/maximum_flow.py)

algorithms/graph/prims_minimum_spanning.py

@@ -0,0 +1,42 @@
+'''
+This Prim's Algorithm Code is for finding weight of minimum spanning tree
+of a connected graph.
+For argument graph, it should be a dictionary type
+such as
+graph = {
+    'a': [ [3, 'b'], [8,'c'] ],
+    'b': [ [3, 'a'], [5, 'd'] ],
+    'c': [ [8, 'a'], [2, 'd'], [4, 'e'] ],
+    'd': [ [5, 'b'], [2, 'c'], [6, 'e'] ],
+    'e': [ [4, 'c'], [6, 'd'] ]
+}
+
+where 'a','b','c','d','e' are nodes (these can be 1,2,3,4,5 as well)
+'''
+
+
+import heapq  # for priority queue
+
+# prim's algo. to find weight of minimum spanning tree
+def prims_minimum_spanning(graph_used):
+    vis=[]
+    s=[[0,1]]
+    prim = []
+    mincost=0
+    
+    while(len(s)>0):
+        v=heapq.heappop(s)
+        x=v[1]
+        if(x in vis):
+            continue
+
+        mincost += v[0]
+        prim.append(x)
+        vis.append(x)
+
+        for j in graph_used[x]:
+            i=j[-1]
+            if(i not in vis):
+                heapq.heappush(s,j)
+
+    return mincost

tests/test_graph.py

@@ -10,6 +10,7 @@
 from algorithms.graph import bellman_ford
 from algorithms.graph import bellman_ford
 from algorithms.graph import count_connected_number_of_component
+from algorithms.graph import prims_minimum_spanning
 
 import unittest
 
@@ -264,3 +265,23 @@ def test_connected_components_without_edges_graph(self):
         expected_result = 4
         result = count_connected_number_of_component.count_components(l,size)
         self.assertEqual(result,expected_result)
+
+        
+class PrimsMinimumSpanning(unittest.TestCase):
+    def test_prim_spanning(self):
+        graph1 = {
+            1 : [ [3, 2], [8, 3] ],
+            2 : [ [3, 1], [5, 4] ],
+            3 : [ [8, 1], [2, 4], [4, 5] ],
+            4 : [ [5, 2], [2, 3], [6, 5] ],
+            5 : [ [4, 3], [6, 4] ]
+        }
+        self.assertEqual(14, prims_minimum_spanning(graph1))
+        
+        graph2 = {
+            1 : [ [7, 2], [6, 4] ],
+            2 : [ [7, 1], [9, 4], [6, 3] ],
+            3 : [ [8, 4], [6, 2] ],
+            4 : [ [6, 1], [9, 2], [8, 3] ]
+        }
+        self.assertEqual(19, prims_minimum_spanning(graph2))