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Kruskal's Algorithm (Python)
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parent = dict() | |
rank = dict() | |
def make_set(vertice): | |
parent[vertice] = vertice | |
rank[vertice] = 0 | |
def find(vertice): | |
if parent[vertice] != vertice: | |
parent[vertice] = find(parent[vertice]) | |
return parent[vertice] | |
def union(vertice1, vertice2): | |
root1 = find(vertice1) | |
root2 = find(vertice2) | |
if root1 != root2: | |
if rank[root1] > rank[root2]: | |
parent[root2] = root1 | |
else: | |
parent[root1] = root2 | |
if rank[root1] == rank[root2]: rank[root2] += 1 | |
def kruskal(graph): | |
for vertice in graph['vertices']: | |
make_set(vertice) | |
minimum_spanning_tree = set() | |
edges = list(graph['edges']) | |
edges.sort() | |
#print edges | |
for edge in edges: | |
weight, vertice1, vertice2 = edge | |
if find(vertice1) != find(vertice2): | |
union(vertice1, vertice2) | |
minimum_spanning_tree.add(edge) | |
return sorted(minimum_spanning_tree) | |
graph = { | |
'vertices': ['A', 'B', 'C', 'D', 'E', 'F', 'G'], | |
'edges': set([ | |
(7, 'A', 'B'), | |
(5, 'A', 'D'), | |
(7, 'B', 'A'), | |
(8, 'B', 'C'), | |
(9, 'B', 'D'), | |
(7, 'B', 'E'), | |
(8, 'C', 'B'), | |
(5, 'C', 'E'), | |
(5, 'D', 'A'), | |
(9, 'D', 'B'), | |
(7, 'D', 'E'), | |
(6, 'D', 'F'), | |
(7, 'E', 'B'), | |
(5, 'E', 'C'), | |
(15, 'E', 'D'), | |
(8, 'E', 'F'), | |
(9, 'E', 'G'), | |
(6, 'F', 'D'), | |
(8, 'F', 'E'), | |
(11, 'F', 'G'), | |
(9, 'G', 'E'), | |
(11, 'G', 'F'), | |
]) | |
} | |
print kruskal(graph) |
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Doesn't work on these tests: https://drive.google.com/file/d/1oFMOIOFNEnwvfYml3MHQr-COiwP0a7Aq/view
Also, code should be a bit optimized