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August 7, 2013 21:11
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Bellman-Ford algorithm in python
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def bellman_ford(graph, source): | |
# Step 1: Prepare the distance and predecessor for each node | |
distance, predecessor = dict(), dict() | |
for node in graph: | |
distance[node], predecessor[node] = float('inf'), None | |
distance[source] = 0 | |
# Step 2: Relax the edges | |
for _ in range(len(graph) - 1): | |
for node in graph: | |
for neighbour in graph[node]: | |
# If the distance between the node and the neighbour is lower than the current, store it | |
if distance[neighbour] > distance[node] + graph[node][neighbour]: | |
distance[neighbour], predecessor[neighbour] = distance[node] + graph[node][neighbour], node | |
# Step 3: Check for negative weight cycles | |
for node in graph: | |
for neighbour in graph[node]: | |
assert distance[neighbour] <= distance[node] + graph[node][neighbour], "Negative weight cycle." | |
return distance, predecessor | |
if __name__ == '__main__': | |
graph = { | |
'a': {'b': -1, 'c': 4}, | |
'b': {'c': 3, 'd': 2, 'e': 2}, | |
'c': {}, | |
'd': {'b': 1, 'c': 5}, | |
'e': {'d': -3} | |
} | |
distance, predecessor = bellman_ford(graph, source='a') | |
print distance | |
graph = { | |
'a': {'c': 3}, | |
'b': {'a': 2}, | |
'c': {'b': 7, 'd': 1}, | |
'd': {'a': 6}, | |
} | |
distance, predecessor = bellman_ford(graph, source='a') | |
print distance |
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il marche pas