NetworkX

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networkx.shortest_path

Shortest Paths

Compute the shortest paths and path lengths between nodes in the graph.

shortest_path(G[, source, target, weighted]) Compute shortest paths in the graph.
shortest_path_length(G[, source, target, ...]) Compute shortest path lengths in the graph.
average_shortest_path_length(G[, weighted]) Return the average shortest path length.

Advanced Interface

Shortest path algorithms for unweighted graphs.

single_source_shortest_path(G, source[, cutoff]) Compute shortest path between source and all other nodes reachable from source.
single_source_shortest_path_length(G, source) Compute the shortest path lengths from source to all reachable nodes.
all_pairs_shortest_path(G[, cutoff]) Compute shortest paths between all nodes.
all_pairs_shortest_path_length(G[, cutoff]) Compute the shortest path lengths between all nodes in G.
predecessor(G, source[, target, cutoff, ...]) Returns dictionary of predecessors for the path from source to all
floyd_warshall(G) The Floyd-Warshall algorithm for all pairs shortest paths.

Shortest path algorithms for weighed graphs.

dijkstra_path(G, source, target) Returns the shortest path from source to target in a weighted
dijkstra_path_length(G, source, target) Returns the shortest path length from source to target in a weighted
single_source_dijkstra_path(G, source) Compute shortest path between source and all other reachable nodes for a weighted graph.
single_source_dijkstra_path_length(G, source) Compute shortest path length between source and all other reachable nodes for a weighted graph.
all_pairs_dijkstra_path(G) Compute shortest paths between all nodes in a weighted graph.
all_pairs_dijkstra_path_length(G) Compute shortest path lengths between all nodes in a weighted graph.
single_source_dijkstra(G, source[, target, ...]) Compute shortest paths and lengths in a weighted graph G.
bidirectional_dijkstra(G, source, target) Dijkstra’s algorithm for shortest paths using bidirectional search.
bidirectional_shortest_path(G, source, target) Return a list of nodes in a shortest path between source and target.
dijkstra_predecessor_and_distance(G, source) Compute shorest path length and predecessors on shortest paths in weighted graphs.

A* Algorithm

Shortest paths and path lengths using A* (“A star”) algorithm.

astar_path(G, source, target[, heuristic]) Return a list of nodes in a shortest path between source and target
astar_path_length(G, source, target[, heuristic]) Return a list of nodes in a shortest path between source and target