Reputation: 191
I am using shortest_simple_paths() that is implemented in Networkx to find k-shortest/best paths between two nodes. shortest simple paths
However, I also need the algorithm to return the path length of the returned path. I will need the path length based on already configured 'weights' and not based on hop counts. I know this is a simple problem and can be implemented very easily, but I couldn't find one that is already implemented and effective.
Upvotes: 1
Views: 1123
Reputation: 8227
It can be achieved by including len(path)
in the for loop from the Examples section of shortest_simple_paths
.
G = nx.cycle_graph(7)
paths = list(nx.shortest_simple_paths(G, 0, 3))
print(paths)
[[0, 1, 2, 3], [0, 6, 5, 4, 3]]
Modify the edges from the linked example so the shorter path by "hop counts" has a higher cumulative weight
than the longer path.
for u,v in G.edges():
if (all(i < 4 for i in [u,v])):
G[u][v]['weight'] = 0.75
else:
G[u][v]['weight'] = 0.25
Copy the k_shortest_paths
function, again from the link.
from itertools import islice
def k_shortest_paths(G, source, target, k, weight=None):
return list(islice(nx.shortest_simple_paths(G, source, target, weight=weight), k))
Compare the output of k_shortest_paths
when weight='weight'
and weight=None
:
for path in k_shortest_paths(G, 0, 3, 2, weight='weight'):
print(path, len(path))
([0, 6, 5, 4, 3], 5)
([0, 1, 2, 3], 4)
for path in k_shortest_paths(G, 0, 3, 2, weight=None):
print(path, len(path))
([0, 1, 2, 3], 4)
([0, 6, 5, 4, 3], 5)
Upvotes: 1