Python/Graphs/minimum_spanning_tree_kruskal.py
Reshad Hasan 9a44eb4479 Organize graph algorithms (#719)
* organized graph algorithms

* all graph algorithms in Graphs/ folder

* all graph algorithms are in one folder

* Rename number theory/factorial_python.py to maths/factorial_python.py
2019-02-25 17:35:24 +08:00

33 lines
769 B
Python

from __future__ import print_function
num_nodes, num_edges = list(map(int,input().split()))
edges = []
for i in range(num_edges):
node1, node2, cost = list(map(int,input().split()))
edges.append((i,node1,node2,cost))
edges = sorted(edges, key=lambda edge: edge[3])
parent = [i for i in range(num_nodes)]
def find_parent(i):
if(i != parent[i]):
parent[i] = find_parent(parent[i])
return parent[i]
minimum_spanning_tree_cost = 0
minimum_spanning_tree = []
for edge in edges:
parent_a = find_parent(edge[1])
parent_b = find_parent(edge[2])
if(parent_a != parent_b):
minimum_spanning_tree_cost += edge[3]
minimum_spanning_tree.append(edge)
parent[parent_a] = parent_b
print(minimum_spanning_tree_cost)
for edge in minimum_spanning_tree:
print(edge)