NAME

Graph::TransitiveClosure - create and query transitive closure of graph

SYNOPSIS

    use Graph::TransitiveClosure;
    use Graph::Directed; # or Undirected
    my $g  = Graph::Directed->new;
    $g->add_...(); # build $g
    # Compute the transitive closure graph.
    my $tcg = Graph::TransitiveClosure->new($g);
    $tcg->is_reachable($u, $v) # Identical to $tcg->has_edge($u, $v)
    # Being reflexive is the default, meaning that null transitions
    # (transitions from a vertex to the same vertex) are included.
    my $tcg = Graph::TransitiveClosure->new($g, reflexive => 1);
    my $tcg = Graph::TransitiveClosure->new($g, reflexive => 0);
    # is_reachable(u, v) is always reflexive.
    $tcg->is_reachable($u, $v)
    # You can check any graph for transitivity.
    $g->is_transitive()
    my $tcg = Graph::TransitiveClosure->new($g, path_length => 1);
    $tcg->path_length($u, $v)
    # path_vertices is on by default so this is a no-op.
    my $tcg = Graph::TransitiveClosure->new($g, path_vertices => 1);
    $tcg->path_vertices($u, $v)
    # see how many paths exist from $u to $v
    my $tcg = Graph::TransitiveClosure->new($g, path_count => 1);
    $tcg->path_length($u, $v)
    # Both path_length and path_vertices.
    my $tcg = Graph::TransitiveClosure->new($g, path => 1);
    $tcg->path_vertices($u, $v)
    $tcg->length($u, $v)
    my $tcg = Graph::TransitiveClosure->new($g, attribute_name => 'length');
    $tcg->path_length($u, $v)

DESCRIPTION

You can use "Graph::TransitiveClosure" to compute the transitive closure graph of a graph and optionally also the minimum paths (lengths and vertices) between vertices, and after that query the transitiveness between vertices by using the is_reachable() and is_transitive() methods, and the paths by using the path_length() and path_vertices() methods.

For further documentation, see the Graph::TransitiveClosure::Matrix.