org.jgrapht.alg.shortestpath

Class BellmanFordShortestPath<V,E>

java.lang.Object

org.jgrapht.alg.shortestpath.BellmanFordShortestPath<V,E>

Type Parameters:

V - the graph vertex type

E - the graph edge type

All Implemented Interfaces:

ShortestPathAlgorithm<V,E>

public class BellmanFordShortestPath<V,E>
extends Object

The Bellman-Ford algorithm.

Computes shortest paths from a single source vertex to all other vertices in a weighted graph. The Bellman-Ford algorithm supports negative edge weights. Negative weight cycles are not allowed and will be reported by the algorithm. This implies that negative edge weights are not allowed in undirected graphs.

The running time is $O(|E||V|)$.

Author:

Dimitrios Michail

Nested Class Summary

Nested classes/interfaces inherited from interface org.jgrapht.alg.interfaces.ShortestPathAlgorithm

ShortestPathAlgorithm.SingleSourcePaths<V,E>

Field Summary

Fields

Modifier and Type	Field and Description
protected Graph<V,E>	graph The underlying graph.

Constructor Summary

Constructors

Constructor and Description
BellmanFordShortestPath(Graph<V,E> graph) Construct a new instance.
BellmanFordShortestPath(Graph<V,E> graph, double epsilon) Construct a new instance.

Method Summary

Modifier and Type	Method and Description
protected GraphPath<V,E>	createEmptyPath(V source, V sink) Create an empty path.
static <V,E> GraphPath<V,E>	findPathBetween(Graph<V,E> graph, V source, V sink) Find a path between two vertices.
GraphPath<V,E>	getPath(V source, V sink) Get a shortest path from a source vertex to a sink vertex.
ShortestPathAlgorithm.SingleSourcePaths<V,E>	getPaths(V source) Compute all shortest paths starting from a single source vertex.
double	getPathWeight(V source, V sink) Get the weight of the shortest path from a source vertex to a sink vertex.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

graph

protected final Graph<V,E> graph

The underlying graph.

Constructor Detail

BellmanFordShortestPath

public BellmanFordShortestPath(Graph<V,E> graph)

Construct a new instance.

Parameters:

graph - the input graph

BellmanFordShortestPath

public BellmanFordShortestPath(Graph<V,E> graph,
                               double epsilon)

Construct a new instance.

Parameters:

graph - the input graph

epsilon - tolerance when comparing floating point values

Method Detail

getPath

public GraphPath<V,E> getPath(V source,
                              V sink)

Get a shortest path from a source vertex to a sink vertex.

Parameters:

source - the source vertex

sink - the target vertex

Returns:

a shortest path or null if no path exists

getPaths

public ShortestPathAlgorithm.SingleSourcePaths<V,E> getPaths(V source)

Compute all shortest paths starting from a single source vertex.

Specified by:

getPaths in interface ShortestPathAlgorithm<V,E>

Parameters:

source - the source vertex

Returns:

the shortest paths

findPathBetween

public static <V,E> GraphPath<V,E> findPathBetween(Graph<V,E> graph,
                                                   V source,
                                                   V sink)

Find a path between two vertices.

Type Parameters:

V - the graph vertex type

E - the graph edge type

Parameters:

graph - the graph to be searched

source - the vertex at which the path should start

sink - the vertex at which the path should end

Returns:

a shortest path, or null if no path exists

getPathWeight

public double getPathWeight(V source,
                            V sink)

Get the weight of the shortest path from a source vertex to a sink vertex. Returns Double.POSITIVE_INFINITY if no path exists.

Specified by:

getPathWeight in interface ShortestPathAlgorithm<V,E>

Parameters:

source - the source vertex

sink - the sink vertex

Returns:

the weight of the shortest path from a source vertex to a sink vertex, or Double.POSITIVE_INFINITY if no path exists

createEmptyPath

protected final GraphPath<V,E> createEmptyPath(V source,
                                               V sink)

Create an empty path. Returns null if the source vertex is different than the target vertex.

Parameters:

source - the source vertex

sink - the sink vertex

Returns:

an empty path or null null if the source vertex is different than the target vertex