From cb8f005a1b7aeac3157a8773a310fdb52b471c63 Mon Sep 17 00:00:00 2001
From: aksh-02 <aksh0299@gmail.com>
Date: Tue, 20 Oct 2020 16:36:05 +0530
Subject: [PATCH] Prim's MST algo

---
 algo/Prim's/prim.py | 65 +++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 65 insertions(+)
 create mode 100644 algo/Prim's/prim.py

diff --git a/algo/Prim's/prim.py b/algo/Prim's/prim.py
new file mode 100644
index 0000000..febde75
--- /dev/null
+++ b/algo/Prim's/prim.py
@@ -0,0 +1,65 @@
+class Graph:
+	
+	def __init__(self, vertices):
+		self.vertices = vertices
+		self.graph = [[None for i in range(vertices)] for i in range(vertices)]
+
+
+	def addEdge(self, u, v, cost):
+		if u < 0 or v < 0 or u >= self.vertices or v >= self.vertices:
+			print("Vertex doesn't exist in the graph")
+		else:
+			self.graph[u][v] = cost
+			self.graph[v][u] = cost
+
+
+	def getClosest(self):
+		m = float("inf")
+		node = None
+		for i in range(self.vertices):
+			if self.dist[i] < m and self.mst[i] == False:
+				m = self.dist[i]
+				node = i
+		return node, m
+
+
+	def prim(self):
+		self.mst = [False for i in range(self.vertices)]
+		self.dist = [float("inf") for i in range(self.vertices)]
+		self.parent = [i for i in range(self.vertices)]
+		self.dist[0] = 0
+		self.ans = []
+
+		for i in range(self.vertices):
+			node, cost = self.getClosest()
+			self.ans.append([self.parent[node], node, self.graph[self.parent[node]][node]])
+			self.mst[node] = True
+			for neighbor in range(self.vertices):
+				if (not self.mst[neighbor]) and (self.graph[node][neighbor]) and (self.dist[neighbor]>self.graph[node][neighbor]):
+					self.dist[neighbor] = self.graph[node][neighbor]
+					self.parent[neighbor] = node
+		
+		for row in self.ans:
+			print(row)
+
+
+if __name__ == "__main__":
+	obj = Graph(9)	# Create a graph object with number of vertices
+	# We can pass a graph or add individual edges
+	obj.addEdge(0, 1, 4)	# Adding edge between 0 & 1 with weight 4
+	obj.graph = [[0, 4, 0, 0, 0, 0, 0, 8, 0],
+				[4, 0, 8, 0, 0, 0, 0, 11, 0],
+				[0, 8, 0, 7, 0, 4, 0, 0, 2],
+				[0, 0, 7, 0, 9, 14, 0, 0, 0],
+				[0, 0, 0, 9, 0, 10, 0, 0, 0],
+				[0, 0, 4, 14, 10, 0, 2, 0, 0],
+				[0, 0, 0, 0, 0, 2, 0, 1, 6],
+				[8, 11, 0, 0, 0, 0, 1, 0, 6],
+				[0, 0, 2, 0, 0, 0, 6, 7, 0]]
+	obj.prim()	# Calling the prim function to print the MST
+
+
+
+
+
+