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.IX Title "Graph::Maker::SmallWorldHK 3pm"
.TH Graph::Maker::SmallWorldHK 3pm "2021-08-27" "perl v5.32.1" "User Contributed Perl Documentation"
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.SH "NAME"
Graph::Maker::SmallWorldHK \- Creates a small world graph according to Holmea, Beom & Kim
.SH "VERSION"
.IX Header "VERSION"
Version 0.01
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
Creates a small world graph according to Holmea, Beom & Kim's model.
A small world graph has an approximate power law degree distribution and a high clustering coefficient.
Holmea, Beom & Kim's can be seen as a super-set of th \s-1BA\s0 model as it also allows a \*(L"triangle formation\*(R"
phase to increase the clustering coefficient.
If the graph is directed then edges are added in both directions to create an undirected graph.
.PP
.Vb 5
\&        use strict;
\&        use warnings;
\&        use Graph;
\&        use Graph::Maker;
\&        use Graph::Maker::SmallWorldHK;
\&
\&        my $g = new Graph::Maker(\*(Aqsmall_world_hk\*(Aq, N => 10, M => 2, M_0 => 1, PR => 0, undirected => 1); # BA\*(Aqs model
\&        my $g2 = new Graph::Maker(\*(Aqsmall_world_hk\*(Aq, N => 10, M => 2, M_0 => 1, PR => 0.25, undirected => 1);
\&        # work with the graph
.Ve
.SH "FUNCTIONS"
.IX Header "FUNCTIONS"
.ie n .SS "new %params"
.el .SS "new \f(CW%params\fP"
.IX Subsection "new %params"
Creates a small world graph with N nodes, initially starting with M_0 nodes and adding M (the minimum number of edges
per node) on each step probalistically doing a triangle formation with probability \s-1PR\s0 according to the Holmes, Beom & Kim model.
The recognized parameters are N, M, M_0, \s-1PR,\s0 graph_maker, and callback
any others are passed onto Graph's constructor.
If N is not given it defaults to 0.
If M is not given it defaults to 1.
If M_0 is not given it defaults to M.
If \s-1PR\s0 is not given it defaults to 0.
callback allows one to simulate the growth of a preferential attachment network, callback will be called each time
a node is added.
If graph_maker is specified it will be called to create the Graph class as desired (for example if you have a
subclass of Graph), this defaults to create a Graph with the parameters specified.
.SH "AUTHOR"
.IX Header "AUTHOR"
Matt Spear, \f(CW\*(C`<batman900+cpan at gmail.com>\*(C'\fR
.SH "BUGS"
.IX Header "BUGS"
Please report any bugs or feature requests to
\&\f(CW\*(C`bug\-graph\-maker\-smallworldhk at rt.cpan.org\*(C'\fR, or through the web interface at
<http://rt.cpan.org/NoAuth/ReportBug.html?Queue=Graph\-Maker>.
I will be notified, and then you'll automatically be notified of progress on
your bug as I make changes.
.SH "COPYRIGHT & LICENSE"
.IX Header "COPYRIGHT & LICENSE"
Copyright 2008 Matt Spear, all rights reserved.
.PP
This program is free software; you can redistribute it and/or modify it
under the same terms as Perl itself.