org.jgrapht.alg.connectivity

Class GabowStrongConnectivityInspector<V,E>

java.lang.Object

org.jgrapht.alg.connectivity.GabowStrongConnectivityInspector<V,E>

Type Parameters:

V - the graph vertex type

E - the graph edge type

All Implemented Interfaces:

StrongConnectivityAlgorithm<V,E>

public class GabowStrongConnectivityInspector<V,E>
extends Object

Computes the strongly connected components of a directed graph. The implemented algorithm follows Cheriyan-Mehlhorn/Gabow's algorithm presented in Path-based depth-first search for strong and biconnected components by Gabow (2000). The running time is order of $O(|V|+|E|)$.

Since:

September, 2013

Author:

Sarah Komla-Ebri

Field Summary

Fields

Modifier and Type	Field and Description
protected Graph<V,E>	graph
protected List<Set<V>>	stronglyConnectedSets
protected List<Graph<V,E>>	stronglyConnectedSubgraphs

Constructor Summary

Constructors

Constructor and Description
GabowStrongConnectivityInspector(Graph<V,E> graph) Constructor

Method Summary

Modifier and Type	Method and Description
Graph<Graph<V,E>,DefaultEdge>	getCondensation() Compute the condensation of the given graph.
Graph<V,E>	getGraph() Return the underlying graph.
List<Graph<V,E>>	getStronglyConnectedComponents() Computes a list of subgraphs of the given graph.
boolean	isStronglyConnected() Returns true if the graph is strongly connected, false otherwise.
List<Set<V>>	stronglyConnectedSets() Computes a List of Sets, where each set contains vertices which together form a strongly connected component within the given graph.

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

stronglyConnectedSets

protected List<Set<V>> stronglyConnectedSets

stronglyConnectedSubgraphs

protected List<Graph<V,E>> stronglyConnectedSubgraphs

Constructor Detail

GabowStrongConnectivityInspector

public GabowStrongConnectivityInspector(Graph<V,E> graph)

Constructor

Parameters:

graph - the graph to inspect

Throws:

NullPointerException - in case the graph is null

Method Detail

stronglyConnectedSets

public List<Set<V>> stronglyConnectedSets()

Description copied from interface: StrongConnectivityAlgorithm

Computes a List of Sets, where each set contains vertices which together form a strongly connected component within the given graph.

Returns:

List of Set s containing the strongly connected components

getGraph

public Graph<V,E> getGraph()

Description copied from interface: StrongConnectivityAlgorithm

Return the underlying graph.

Specified by:

getGraph in interface StrongConnectivityAlgorithm<V,E>

Returns:

the underlying graph

isStronglyConnected

public boolean isStronglyConnected()

Description copied from interface: StrongConnectivityAlgorithm

Returns true if the graph is strongly connected, false otherwise.

Specified by:

isStronglyConnected in interface StrongConnectivityAlgorithm<V,E>

Returns:

true if the graph is strongly connected, false otherwise

getStronglyConnectedComponents

public List<Graph<V,E>> getStronglyConnectedComponents()

Description copied from interface: StrongConnectivityAlgorithm

Computes a list of subgraphs of the given graph. Each subgraph will represent a strongly connected component and will contain all vertices of that component. The subgraph will have an edge $(u,v)$ iff $u$ and $v$ are contained in the strongly connected component.

Specified by:

getStronglyConnectedComponents in interface StrongConnectivityAlgorithm<V,E>

Returns:

a list of subgraphs representing the strongly connected components

getCondensation

public Graph<Graph<V,E>,DefaultEdge> getCondensation()

Description copied from interface: StrongConnectivityAlgorithm

Compute the condensation of the given graph. If each strongly connected component is contracted to a single vertex, the resulting graph is a directed acyclic graph, the condensation of the graph.

Specified by:

getCondensation in interface StrongConnectivityAlgorithm<V,E>

Returns:

the condensation of the given graph