Created
August 11, 2013 08:36
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dijkstra's shortest path.
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#!/usr/bin/env python | |
import sys | |
from altgraph import Graph | |
def read_graph(f): | |
g = Graph.Graph() | |
for l in file(f): | |
l = l.rstrip().split() | |
# read vertex | |
v = int(l[0]) | |
l.pop(0) | |
# read neighbor & length | |
for i in l: | |
i = i.split(',') | |
g.add_edge(v, int(i[0]), int(i[1])) | |
return g | |
def dijkstra(graph, start): | |
dist = {} | |
for v in graph.nodes: | |
dist[v] = sys.maxint | |
prev = {} | |
for v in graph.nodes: | |
prev[v] = None | |
dist[start] = 0 | |
Q = graph.nodes.copy() | |
while len(Q): | |
# find vertex with smallest distance. | |
min_dist = sys.maxint | |
u = Q.keys()[0] # first vertex | |
for v in Q: | |
if dist[v] < min_dist: | |
u = v | |
min_dist = dist[v] | |
del(Q[u]) | |
if dist[u] == sys.maxint: | |
break | |
# find neighbors | |
neighbors = {} | |
for e in graph.edges.values(): | |
if e[0] == u: | |
neighbors[e[1]] = e[2] | |
for v in neighbors: | |
alt = dist[u] + neighbors[v] | |
if alt < dist[v]: | |
dist[v], prev[v] = alt, u | |
return dist, prev | |
if __name__=='__main__': | |
if len(sys.argv) > 2: | |
graph_file = sys.argv[1] | |
start = int(sys.argv[2]) | |
end = int(sys.argv[3]) | |
g = read_graph(graph_file) | |
dis = dijkstra(g, start) | |
print dis[0][end] |
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