Interface WeaklyConnectedComponentsAlgo


  • public interface WeaklyConnectedComponentsAlgo
    Weakly Connected components algorithm.

    Given a graph \(G=(V,E)\), two vertices \(u,v \in V\) are weakly connected if there is an undirected path from \(u\) to \(v\). A weakly connected component is a maximal set of vertices that each pair in the set is weakly connected. This definition hold for both directed and undirected graphs. For undirected graphs, the strongly and weakly connected components are identical. The set of vertices \(V\) can be partitioned into disjoint weakly connected components.

    Use newInstance() to get a default implementation of this interface.

    Author:
    Barak Ugav
    See Also:
    StronglyConnectedComponentsAlgo
    • Method Detail

      • findWeaklyConnectedComponents

        <V,​E> VertexPartition<V,​E> findWeaklyConnectedComponents​(Graph<V,​E> g)
        Compute all weakly connected components in a graph.

        Given a directed graph, if we replace all the directed edges with undirected edges and compute the (strongly) connected components in the result undirected graph.

        If g is an IntGraph, a IVertexPartition object will be returned.

        Type Parameters:
        V - the vertices type
        E - the edges type
        Parameters:
        g - a graph
        Returns:
        a result object containing the partition of the vertices into weakly connected components
      • isWeaklyConnected

        <V,​E> boolean isWeaklyConnected​(Graph<V,​E> g)
        Check whether a graph is weakly connected.

        A graph is weakly connected if there is an undirected path from any vertex to any other vertex. Namely if the the whole graph is a single weakly connected component.

        If g is an IntGraph, a IVertexPartition object will be returned.

        Type Parameters:
        V - the vertices type
        E - the edges type
        Parameters:
        g - a graph
        Returns:
        true if the graph is weakly connected, false otherwise