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Kruskal Python

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May 19th, 2019
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  1. class Graph:
  2. def __init__(self,vertices):
  3. self.V= vertices
  4. self.graph = []
  5. def addEdge(self,u,v,w):
  6. self.graph.append([u,v,w])
  7. def find(self, parent, i):
  8. if parent[i] is not i:
  9. return self.find(parent, parent[i])
  10. return i
  11. def union(self, parent, rank, x, y):
  12. xroot = self.find(parent, x)
  13. yroot = self.find(parent, y)
  14. if rank[xroot] < rank[yroot]:
  15. parent[xroot] = yroot
  16. elif rank[xroot] > rank[yroot]:
  17. parent[yroot] = xroot
  18. else :
  19. parent[yroot] = xroot
  20. rank[xroot] += 1
  21. def KruskalMST(self):
  22. i, e = 0, 0
  23. self.graph = sorted(self.graph,key=lambda item: item[2])
  24. result, parent, rank = [], [], []
  25. for node in range(self.V):
  26. parent.append(node)
  27. rank.append(0)
  28. while e < self.V -1 :
  29. u,v,w = self.graph[i]
  30. i = i + 1
  31. x = self.find(parent, u)
  32. y = self.find(parent ,v)
  33. if x != y:
  34. e = e + 1
  35. result.append([u,v,w])
  36. self.union(parent, rank, x, y)
  37. print("Following are the edges in the constructed MST")
  38. for u,v,weight in result:
  39. print(str(u) + " -- " + str(v) + " == " + str(weight))
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