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- class Graph:
- def __init__(self,vertices):
- self.V= vertices
- self.graph = []
- def addEdge(self,u,v,w):
- self.graph.append([u,v,w])
- def find(self, parent, i):
- if parent[i] is not i:
- return self.find(parent, parent[i])
- return i
- def union(self, parent, rank, x, y):
- xroot = self.find(parent, x)
- yroot = self.find(parent, y)
- if rank[xroot] < rank[yroot]:
- parent[xroot] = yroot
- elif rank[xroot] > rank[yroot]:
- parent[yroot] = xroot
- else :
- parent[yroot] = xroot
- rank[xroot] += 1
- def KruskalMST(self):
- i, e = 0, 0
- self.graph = sorted(self.graph,key=lambda item: item[2])
- result, parent, rank = [], [], []
- for node in range(self.V):
- parent.append(node)
- rank.append(0)
- while e < self.V -1 :
- u,v,w = self.graph[i]
- i = i + 1
- x = self.find(parent, u)
- y = self.find(parent ,v)
- if x != y:
- e = e + 1
- result.append([u,v,w])
- self.union(parent, rank, x, y)
- print("Following are the edges in the constructed MST")
- for u,v,weight in result:
- print(str(u) + " -- " + str(v) + " == " + str(weight))
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