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Graph::UnionFind(3pm)					User Contributed Perl Documentation				     Graph::UnionFind(3pm)

NAME
Graph::UnionFind - union-find data structures SYNOPSIS
use Graph::UnionFind; my $uf = Graph::UnionFind->new; # Add the vertices to the data structure. $uf->add($u); $uf->add($v); # Join the partitions of the vertices. $uf->union( $u, $v ); # Find the partitions the vertices belong to # in the union-find data structure. If they # are equal, they are in the same partition. # If the vertex has not been seen, # undef is returned. my $pu = $uf->find( $u ); my $pv = $uf->find( $v ); $uf->same($u, $v) # Equal to $pu eq $pv. # Has the union-find seen this vertex? $uf->has( $v ) DESCRIPTION
Union-find is a special data structure that can be used to track the partitioning of a set into subsets (a problem known also as disjoint sets). Graph::UnionFind() is used for Graph::connected_components(), Graph::connected_component(), and Graph::same_connected_components() if you specify a true "union_find" parameter when you create an undirected graph. Note that union-find is one way: you cannot (easily) 'ununion' vertices once you have 'unioned' them. This means that if you delete edges from a "union_find" graph, you will get wrong results from the Graph::connected_components(), Graph::connected_component(), and Graph::same_connected_components(). API add $uf->add($v) Add the vertex v to the union-find. union $uf->union($u, $v) Add the edge u-v to the union-find. Also implicitly adds the vertices. has $uf->has($v) Return true if the vertex v has been added to the union-find, false otherwise. find $uf->find($v) Return the union-find partition the vertex v belongs to, or "undef" if it has not been added. new $uf = Graph::UnionFind->new() The constructor. same $uf->same($u, $v) Return true of the vertices belong to the same union-find partition the vertex v belongs to, false otherwise. AUTHOR AND COPYRIGHT
Jarkko Hietaniemi jhi@iki.fi LICENSE
This module is licensed under the same terms as Perl itself. perl v5.10.0 2008-11-27 Graph::UnionFind(3pm)

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Graph::Writer::XML(3pm) 				User Contributed Perl Documentation				   Graph::Writer::XML(3pm)

NAME
Graph::Writer::XML - write out directed graph as XML SYNOPSIS
use Graph; use Graph::Writer::XML; $graph = Graph->new(); # add edges and nodes to the graph $writer = Graph::Writer::XML->new(); $writer->write_graph($graph, 'mygraph.xml'); DESCRIPTION
Graph::Writer::XML is a class for writing out a directed graph in a simple XML format. The graph must be an instance of the Graph class, which is actually a set of classes developed by Jarkko Hietaniemi. The XML format is designed to support the Graph classes: it can be used to represent a single graph with a collection of nodes, and edges between those nodes. The graph, nodes, and edges can all have attributes specified, where an attribute is a (name,value) pair, with the value being scalar. METHODS
new() Constructor - generate a new writer instance. $writer = Graph::Writer::XML->new(); This doesn't take any arguments. write_graph() Write a specific graph to a named file: $writer->write_graph($graph, $file); The $file argument can either be a filename, or a filehandle for a previously opened file. KNOWN BUGS
Attribute values must be scalar. If they're not, well, you're on your own. SEE ALSO
XML::Writer The perl module used to actually write out the XML. It handles entities etc. Graph Jarkko Hietaniemi's modules for representing directed graphs, available from CPAN under modules/by-module/Graph/ Algorithms in Perl The O'Reilly book which has a chapter on directed graphs, which is based around Jarkko's modules. Graph::Writer The base-class for Graph::Writer::XML AUTHOR
Neil Bowers <neil@bowers.com> COPYRIGHT
Copyright (c) 2001-2012, Neil Bowers. All rights reserved. Copyright (c) 2001, Canon Research Centre Europe. All rights reserved. This script is free software; you can redistribute it and/or modify it under the same terms as Perl itself. perl v5.14.2 2012-02-14 Graph::Writer::XML(3pm)
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