1Graph::TransitiveClosurUes(e3r)Contributed Perl DocumentGartaipohn::TransitiveClosure(3)
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NAME

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

9           use Graph::TransitiveClosure;
10           use Graph::Directed; # or Undirected
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12           my $g  = Graph::Directed->new;
13           $g->add_...(); # build $g
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15           # Compute the transitive closure graph.
16           my $tcg = Graph::TransitiveClosure->new($g);
17           $tcg->is_reachable($u, $v) # Identical to $tcg->has_edge($u, $v)
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19           # Being reflexive is the default, meaning that null transitions
20           # (transitions from a vertex to the same vertex) are included.
21           my $tcg = Graph::TransitiveClosure->new($g, reflexive => 1);
22           my $tcg = Graph::TransitiveClosure->new($g, reflexive => 0);
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24           # is_reachable(u, v) is always reflexive.
25           $tcg->is_reachable($u, $v)
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27           # You can check any graph for transitivity.
28           $g->is_transitive()
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30           my $tcg = Graph::TransitiveClosure->new($g, path_length => 1);
31           $tcg->path_length($u, $v)
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33           # path_vertices is on by default so this is a no-op.
34           my $tcg = Graph::TransitiveClosure->new($g, path_vertices => 1);
35           $tcg->path_vertices($u, $v)
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37           # see how many paths exist from $u to $v
38           my $tcg = Graph::TransitiveClosure->new($g, path_count => 1);
39           $tcg->path_length($u, $v)
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41           # Both path_length and path_vertices.
42           my $tcg = Graph::TransitiveClosure->new($g, path => 1);
43           $tcg->path_vertices($u, $v)
44           $tcg->length($u, $v)
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46           my $tcg = Graph::TransitiveClosure->new($g, attribute_name => 'length');
47           $tcg->path_length($u, $v)
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DESCRIPTION

50       You can use "Graph::TransitiveClosure" to compute the transitive
51       closure graph of a graph and optionally also the minimum paths (lengths
52       and vertices) between vertices, and after that query the transitiveness
53       between vertices by using the is_reachable() and is_transitive()
54       methods, and the paths by using the path_length() and path_vertices()
55       methods.
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57       For further documentation, see the Graph::TransitiveClosure::Matrix.
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59   Class Methods
60       new($g, %opt)
61           Construct a new transitive closure object.  Note that strictly
62           speaking the returned object is not a graph; it is a graph plus
63           other stuff.  But you should be able to use it as a graph plus a
64           couple of methods inherited from the
65           Graph::TransitiveClosure::Matrix class.
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67   Object Methods
68       These are only the methods 'native' to the class: see
69       Graph::TransitiveClosure::Matrix for more.
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71       is_transitive($g)
72           Return true if the Graph $g is transitive.
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74       transitive_closure_matrix
75           Return the transitive closure matrix of the transitive closure
76           object.
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80perl v5.38.0                      2023-07-25       Graph::TransitiveClosure(3)
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