The Perl Advent Calendar needs more articles for 2022. Submit your idea today!


Graph::AdjacencyMatrix - create and query the adjacency matrix of graph G


    use Graph::AdjacencyMatrix;
    use Graph::Directed; # or Undirected

    my $g  = Graph::Directed->new;
    $g->add_...(); # build $g

    my $am = Graph::AdjacencyMatrix->new($g);
    $am->is_adjacent($u, $v)

    my $am = Graph::AdjacencyMatrix->new($g, distance_matrix => 1);
    $am->distance($u, $v)

    my $am = Graph::AdjacencyMatrix->new($g, attribute_name => 'length');
    $am->distance($u, $v)

    my $am = Graph::AdjacencyMatrix->new($g, ...);
    my @V  = $am->vertices();


You can use Graph::AdjacencyMatrix to compute the adjacency matrix and optionally also the distance matrix of a graph, and after that query the adjacencyness between vertices by using the is_adjacent() method, or query the distance between vertices by using the distance() method.

By default the edge attribute used for distance is w, but you can change that in new(), see below.

If you modify the graph after creating the adjacency matrix of it, the adjacency matrix and the distance matrix may become invalid.


Class Methods


Construct the adjacency matrix of the graph $g.

new($g, options)

Construct the adjacency matrix of the graph $g with options as a hash. The known options are

distance_matrix => boolean

By default only the adjacency matrix is computed. To compute also the distance matrix, use the attribute distance_matrix with a true value to the new() constructor.

attribute_name => attribute_name

By default the edge attribute used for distance is w. You can change that by giving another attribute name with the attribute_name attribute to new() constructor. Using this attribute also implicitly causes the distance matrix to be computed.

Object Methods

is_adjacent($u, $v)

Return true if the vertex $v is adjacent to vertex $u, or false if not.

distance($u, $v)

Return the distance between the vertices $u and $v, or undef if the vertices are not adjacent.


Return the adjacency matrix itself (a list of bitvector scalars).


Return the list of vertices (useful for indexing the adjacency matrix).


The algorithm used to create the matrix is two nested loops, which is O(V**2) in time, and the returned matrices are O(V**2) in space.


Graph::TransitiveClosure, Graph::BitMatrix


Jarkko Hietaniemi


This module is licensed under the same terms as Perl itself.