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floyd_warshall(G, weight='weight')

Notes

Floyd's algorithm is appropriate for finding shortest paths in dense graphs or graphs with negative weights when Dijkstra's algorithm fails. This algorithm can still fail if there are negative cycles. It has running time $O(n^3)$ with running space of $O(n^2)$.

Parameters

G : NetworkX graph
weight: string, optional (default= 'weight') :

Edge data key corresponding to the edge weight.

Returns

distance : dict

A dictionary, keyed by source and target, of shortest paths distances between nodes.

Find all-pairs shortest path lengths using Floyd's algorithm.

See Also

all_pairs_shortest_path
all_pairs_shortest_path_length
floyd_warshall_numpy
floyd_warshall_predecessor_and_distance

Examples

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

networkx.algorithms.shortest_paths.unweighted.all_pairs_shortest_path networkx.algorithms.shortest_paths.dense.floyd_warshall_predecessor_and_distance networkx.algorithms.shortest_paths.weighted.all_pairs_bellman_ford_path networkx.algorithms.shortest_paths.weighted.all_pairs_dijkstra_path

Local connectivity graph

Hover to see nodes names; edges to Self not shown, Caped at 50 nodes.

Using a canvas is more power efficient and can get hundred of nodes ; but does not allow hyperlinks; , arrows or text (beyond on hover)

SVG is more flexible but power hungry; and does not scale well to 50 + nodes.

All aboves nodes referred to, (or are referred from) current nodes; Edges from Self to other have been omitted (or all nodes would be connected to the central node "self" which is not useful). Nodes are colored by the library they belong to, and scaled with the number of references pointing them


GitHub : /networkx/algorithms/shortest_paths/dense.py#201
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