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Prim's algorithm, in Python.
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from sys import argv | |
import re | |
# open the file and get read to read data | |
file = open(argv[1], "r"); | |
p = re.compile("\d+"); | |
# initialize the graph | |
vertices, edges = map(int, p.findall(file.readline())) | |
graph = [[0]*vertices for _ in range(vertices)] | |
# populate the graph | |
for i in range(edges): | |
u, v, weight = map(int, p.findall(file.readline())) | |
graph[u][v] = weight | |
graph[v][u] = weight | |
# initialize the MST and the set X | |
T = set(); | |
X = set(); | |
# select an arbitrary vertex to begin with | |
X.add(0); | |
while len(X) != vertices: | |
crossing = set(); | |
# for each element x in X, add the edge (x, k) to crossing if | |
# k is not in X | |
for x in X: | |
for k in range(vertices): | |
if k not in X and graph[x][k] != 0: | |
crossing.add((x, k)) | |
# find the edge with the smallest weight in crossing | |
edge = sorted(crossing, key=lambda e:graph[e[0]][e[1]])[0]; | |
# add this edge to T | |
T.add(edge) | |
# add the new vertex to X | |
X.add(edge[1]) | |
# print the edges of the MST | |
for edge in T: | |
print edge |
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