|  line  | 
 stmt  | 
 bran  | 
 cond  | 
 sub  | 
 pod  | 
 time  | 
 code  | 
| 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 package SNA::Network;  | 
| 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
3
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
250848
 | 
 use warnings;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
24
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
464
 | 
    | 
| 
4
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
58
 | 
 use strict;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
19
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
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399
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    | 
| 
5
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 | 
 
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    | 
| 
6
 | 
14
 | 
 
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 | 
  
14
  
 | 
 
 | 
55
 | 
 use Carp;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
27
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
1080
 | 
    | 
| 
7
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
7364
 | 
 use English;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
46249
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
75
 | 
    | 
| 
8
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
9
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
13280
 | 
 use Object::Tiny::XS qw(community_levels);  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
44722
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
82
 | 
    | 
| 
10
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
11
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
4053
 | 
 use Scalar::Util qw(weaken);  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
26
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
1468
 | 
    | 
| 
12
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
72
 | 
 use List::Util qw(sum);  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
19
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
1145
 | 
    | 
| 
13
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
14
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5673
 | 
 use SNA::Network::Node;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
35
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
165
 | 
    | 
| 
15
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5646
 | 
 use SNA::Network::Edge;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
36
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
143
 | 
    | 
| 
16
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5667
 | 
 use SNA::Network::Filter::Pajek;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
24
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
819
 | 
    | 
| 
17
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5367
 | 
 use SNA::Network::Filter::Guess;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
34
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
930
 | 
    | 
| 
18
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5565
 | 
 use SNA::Network::Algorithm::Betweenness;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
28
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
724
 | 
    | 
| 
19
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
4925
 | 
 use SNA::Network::Algorithm::Connectivity;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
27
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
773
 | 
    | 
| 
20
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5097
 | 
 use SNA::Network::Algorithm::Cores;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
28
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
675
 | 
    | 
| 
21
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
4961
 | 
 use SNA::Network::Algorithm::HITS;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
29
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
713
 | 
    | 
| 
22
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5268
 | 
 use SNA::Network::Algorithm::Louvain;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
58
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
785
 | 
    | 
| 
23
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5450
 | 
 use SNA::Network::Algorithm::PageRank;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
32
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
735
 | 
    | 
| 
24
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5156
 | 
 use SNA::Network::Generator::ByDensity;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
32
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
655
 | 
    | 
| 
25
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5072
 | 
 use SNA::Network::Generator::ConfigurationModel;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
50
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
676
 | 
    | 
| 
26
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
5233
 | 
 use SNA::Network::Generator::MCMC;  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
26
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
705
 | 
    | 
| 
27
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
28
 | 
14
 | 
 
 | 
 
 | 
  
14
  
 | 
 
 | 
70
 | 
 use Module::List::Pluggable qw(import_modules);  | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
15
 | 
    | 
| 
 
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12428
 | 
    | 
| 
29
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 import_modules('SNA::Network::Plugin');  | 
| 
30
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
31
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
32
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 NAME  | 
| 
33
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
34
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 SNA::Network - A toolkit for Social Network Analysis  | 
| 
35
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
36
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 VERSION  | 
| 
37
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
38
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Version 0.20  | 
| 
39
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
40
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
41
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
42
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 our $VERSION = '0.20';  | 
| 
43
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
44
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
45
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 SYNOPSIS  | 
| 
46
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
47
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Quick summary of what the module does.  | 
| 
48
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
49
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     use SNA::Network;  | 
| 
50
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
51
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     my $net = SNA::Network->new();  | 
| 
52
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     $net->create_node_at_index(index => 0, name => 'A');  | 
| 
53
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     $net->create_node_at_index(index => 1, name => 'B');  | 
| 
54
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     $net->create_edge(source_index => 0, target_index => 1, weight => 1);  | 
| 
55
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     ...  | 
| 
56
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
       | 
| 
57
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 DESCRIPTION  | 
| 
58
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
59
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 SNA::Network is a bundle of modules for network algorithms,  | 
| 
60
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 specifically designed for the needs of Social Network Analysis (SNA),  | 
| 
61
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 but can be used for any other graph algorithms of course.  | 
| 
62
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
63
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 It represents a standard directed and weighted network,  | 
| 
64
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 which can also be used as an undirected and/or unweighted network of course.  | 
| 
65
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 It is freely extensible by using own hash entries.  | 
| 
66
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
67
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Data structures have been designed for SNA-typical sparse network operations,  | 
| 
68
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 and consist of Node and Edge objects, linked via references to each other.  | 
| 
69
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
70
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Functionality is implemented in sub-modules in the B namespace,  | 
| 
71
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 and all methods are imported into B.  | 
| 
72
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 So you can read the documentation in the sub-modules and call the methods  | 
| 
73
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 from your B instance.  | 
| 
74
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
75
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Methods are called with named parameter style, e.g.  | 
| 
76
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
77
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	$net->method( param1 => value1, param2 => value2, ...);  | 
| 
78
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	  | 
| 
79
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Only in cases, where methods have only one parameter,  | 
| 
80
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 this one is passed by value.  | 
| 
81
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
82
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 This module was implemented mainly because I had massive problems  | 
| 
83
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 understanding the internal structures of Perl's L module.  | 
| 
84
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Despite it uses lots of arrays instead of hashes for attributes  | 
| 
85
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 and bit setting for properties, it was terribly slow for my purposes,  | 
| 
86
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 especially in network manipulation (consistent node removal).  | 
| 
87
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 It currently has much more features and plugins though,  | 
| 
88
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 and is suitable for different network types.  | 
| 
89
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 This package is focussing on directed networks only,  | 
| 
90
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 with the possibility to model undirected ones as well.  | 
| 
91
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
92
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
93
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 METHODS  | 
| 
94
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
95
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 new  | 
| 
96
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
97
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Creates a new empty network.  | 
| 
98
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 There are no parameters.  | 
| 
99
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 After creation, use methods to add nodes and edges,  | 
| 
100
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 or load a network from a file.  | 
| 
101
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
102
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
103
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
104
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub new {  | 
| 
105
 | 
25
 | 
 
 | 
 
 | 
  
25
  
 | 
  
1
  
 | 
748
 | 
 	my ($package) = @_;  | 
| 
106
 | 
25
 | 
 
 | 
 
 | 
 
 | 
 
 | 
139
 | 
 	return bless { nodes => [], edges => [] }, $package;  | 
| 
107
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
108
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
109
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
110
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 create_node_at_index  | 
| 
111
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
112
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Creates a node at the given index.  | 
| 
113
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Pass node attributes as additional named parameters, index is mandatory.  | 
| 
114
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Returns the created L object.  | 
| 
115
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
116
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
117
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
118
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub create_node_at_index {  | 
| 
119
 | 
660
 | 
 
 | 
 
 | 
  
660
  
 | 
  
1
  
 | 
1852
 | 
 	my ($self, %node_attributes) = @_;  | 
| 
120
 | 
660
 | 
 
 | 
 
 | 
 
 | 
 
 | 
1487
 | 
 	return $self->{nodes}->[$node_attributes{index}] = SNA::Network::Node->new(%node_attributes);  | 
| 
121
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
122
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
123
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
124
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 create_node  | 
| 
125
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
126
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Creates a node at the next index.  | 
| 
127
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Pass node attributes as additional named parameters, index is forbidden.  | 
| 
128
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Returns the created L object with the right index field.  | 
| 
129
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
130
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
131
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
132
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub create_node {  | 
| 
133
 | 
12
 | 
 
 | 
 
 | 
  
12
  
 | 
  
1
  
 | 
809
 | 
 	my ($self, %node_attributes) = @_;  | 
| 
134
 | 
12
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
33
 | 
 	croak "illegally passed index to create_node method" if defined $node_attributes{index};  | 
| 
135
 | 
12
 | 
 
 | 
 
 | 
 
 | 
 
 | 
19
 | 
 	my $index = int $self->nodes;  | 
| 
136
 | 
12
 | 
 
 | 
 
 | 
 
 | 
 
 | 
31
 | 
 	return $self->create_node_at_index( index => $index, %node_attributes );  | 
| 
137
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
138
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
139
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
140
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 create_edge  | 
| 
141
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
142
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Creates a new edge between nodes with the given B and B.  | 
| 
143
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 A B is optional, it defaults to 1.  | 
| 
144
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Pass any additional attributes as key/value pairs.  | 
| 
145
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Returns the created L object.  | 
| 
146
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
147
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
148
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
149
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub create_edge {  | 
| 
150
 | 
4001
 | 
 
 | 
 
 | 
  
4001
  
 | 
  
1
  
 | 
7171
 | 
 	my ($self, %params) = @_;  | 
| 
151
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
5275
 | 
 	my $source_node = $self->node_at_index( $params{source_index} );  | 
| 
152
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
5155
 | 
 	my $target_node = $self->node_at_index( $params{target_index} );  | 
| 
153
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3185
 | 
 	my $index = int @{ $self->{edges} };  | 
| 
 
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4380
 | 
    | 
| 
154
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3771
 | 
 	my $weight = $params{weight};  | 
| 
155
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4017
 | 
 	delete $params{source_index};  | 
| 
156
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3168
 | 
 	delete $params{target_index};  | 
| 
157
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3081
 | 
 	delete $params{weight};  | 
| 
158
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
8020
 | 
 	my $edge = SNA::Network::Edge->new(  | 
| 
159
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		source => $source_node,  | 
| 
160
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		target => $target_node,  | 
| 
161
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		weight => $weight,  | 
| 
162
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		index  => $index,  | 
| 
163
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		%params,  | 
| 
164
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	);  | 
| 
165
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3665
 | 
 	push @{ $self->{edges} }, $edge;  | 
| 
 
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4922
 | 
    | 
| 
166
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3003
 | 
 	push @{ $source_node->{outgoing_edges} }, $edge;  | 
| 
 
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4494
 | 
    | 
| 
167
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6921
 | 
 	weaken $source_node->{outgoing_edges}->[-1];  | 
| 
168
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2733
 | 
 	push @{ $target_node->{incoming_edges} }, $edge;  | 
| 
 
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
5071
 | 
    | 
| 
169
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
5877
 | 
 	weaken $target_node->{incoming_edges}->[-1];  | 
| 
170
 | 
4001
 | 
 
 | 
 
 | 
 
 | 
 
 | 
12937
 | 
 	return $edge;  | 
| 
171
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
172
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
173
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
174
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 nodes  | 
| 
175
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
176
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Returns the array of L objects belonging to this network.  | 
| 
177
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
178
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
179
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
180
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub nodes {  | 
| 
181
 | 
169
 | 
 
 | 
 
 | 
  
169
  
 | 
  
1
  
 | 
3066
 | 
 	my ($self) = @_;  | 
| 
182
 | 
169
 | 
 
 | 
 
 | 
 
 | 
 
 | 
148
 | 
 	return @{ $self->{nodes} };  | 
| 
 
 | 
169
 | 
 
 | 
 
 | 
 
 | 
 
 | 
591
 | 
    | 
| 
183
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
184
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
185
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
186
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 node_at_index  | 
| 
187
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
188
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Returns the L object at the given index.  | 
| 
189
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
190
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
191
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
192
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub node_at_index {  | 
| 
193
 | 
8197
 | 
 
 | 
 
 | 
  
8197
  
 | 
  
1
  
 | 
8234
 | 
 	my ($self, $index) = @_;  | 
| 
194
 | 
8197
 | 
 
 | 
 
 | 
 
 | 
 
 | 
10111
 | 
 	return $self->{nodes}->[$index];  | 
| 
195
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
196
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
197
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
198
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 edges  | 
| 
199
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
200
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Returns the array of L objects belonging to this network.  | 
| 
201
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
202
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
203
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
204
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub edges {  | 
| 
205
 | 
21116
 | 
 
 | 
 
 | 
  
21116
  
 | 
  
1
  
 | 
17233
 | 
 	my ($self) = @_;  | 
| 
206
 | 
21116
 | 
 
 | 
 
 | 
 
 | 
 
 | 
14537
 | 
 	return @{ $self->{edges} };  | 
| 
 
 | 
21116
 | 
 
 | 
 
 | 
 
 | 
 
 | 
40396
 | 
    | 
| 
207
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
208
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
209
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
210
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 total_weight  | 
| 
211
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
212
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Returns the sum of all weights of the L objects belonging to this network.  | 
| 
213
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
214
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
215
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
216
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub total_weight {  | 
| 
217
 | 
4
 | 
 
 | 
 
 | 
  
4
  
 | 
  
1
  
 | 
8
 | 
 	my ($self) = @_;  | 
| 
218
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
11
 | 
 	return sum map { $_->weight } $self->edges;  | 
| 
 
 | 
1501
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2279
 | 
    | 
| 
219
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
220
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
221
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
222
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 delete_nodes  | 
| 
223
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
224
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Delete the passed node objects.  | 
| 
225
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 These have to be sorted by index!  | 
| 
226
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 All related edges get deleted as well.  | 
| 
227
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Indexes get restored after this operation.  | 
| 
228
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
229
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
230
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
231
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub delete_nodes {  | 
| 
232
 | 
1
 | 
 
 | 
 
 | 
  
1
  
 | 
  
1
  
 | 
2
 | 
 	my ($self, @nodes_to_delete) = @_;  | 
| 
233
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	# nodes have to be sorted by index!  | 
| 
234
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	  | 
| 
235
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3
 | 
 	foreach (@nodes_to_delete) {  | 
| 
236
 | 
2
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6
 | 
 		$self->delete_edges( $_->edges() );  | 
| 
237
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	}  | 
| 
238
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	  | 
| 
239
 | 
7
 | 
  
100
  
 | 
  
100
  
 | 
 
 | 
 
 | 
27
 | 
 	$self->{nodes} = [ grep {  | 
| 
 
 | 
 
 | 
 
 | 
  
 50
  
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
240
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4
 | 
 		($nodes_to_delete[0] && $_ == $nodes_to_delete[0]) ? shift @nodes_to_delete && 0 : 1   | 
| 
241
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	} $self->nodes() ];  | 
| 
242
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3
 | 
 	$self->_restore_node_indexes();  | 
| 
243
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
244
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
245
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
246
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub _restore_node_indexes {  | 
| 
247
 | 
1
 | 
 
 | 
 
 | 
  
1
  
 | 
 
 | 
1
 | 
 	my ($self) = @_;  | 
| 
248
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
2
 | 
 	my $i = 0;  | 
| 
249
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
84
 | 
 	foreach ($self->nodes()) {  | 
| 
250
 | 
5
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6
 | 
 		$_->{index} = $i++;  | 
| 
251
 | 
5
 | 
 
 | 
 
 | 
 
 | 
 
 | 
7
 | 
 		undef $_->{weak_component_index};  | 
| 
252
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	}  | 
| 
253
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
254
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
255
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
256
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 delete_edges  | 
| 
257
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
258
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Delete the passed edge objects.  | 
| 
259
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
260
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
261
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
262
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub delete_edges {  | 
| 
263
 | 
3
 | 
 
 | 
 
 | 
  
3
  
 | 
  
1
  
 | 
5
 | 
 	my ($self, @edges_to_delete) = @_;  | 
| 
264
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	  | 
| 
265
 | 
3
 | 
 
 | 
 
 | 
 
 | 
 
 | 
5
 | 
 	foreach my $edge (@edges_to_delete) {  | 
| 
266
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	  | 
| 
267
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		# delete references in endpoint nodes  | 
| 
268
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
269
 | 
13
 | 
 
 | 
 
 | 
 
 | 
 
 | 
28
 | 
 		$edge->source->{outgoing_edges} = [ grep {  | 
| 
270
 | 
8
 | 
 
 | 
 
 | 
 
 | 
 
 | 
16
 | 
 			$_ != $edge  | 
| 
271
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		} $edge->source->outgoing_edges ];  | 
| 
272
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		  | 
| 
273
 | 
8
 | 
 
 | 
 
 | 
 
 | 
 
 | 
18
 | 
 		for (0 .. int $edge->source->outgoing_edges - 1) {  | 
| 
274
 | 
5
 | 
 
 | 
 
 | 
 
 | 
 
 | 
19
 | 
 			weaken $edge->source->{outgoing_edges}->[$_];  | 
| 
275
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		}  | 
| 
276
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
277
 | 
14
 | 
 
 | 
 
 | 
 
 | 
 
 | 
26
 | 
 		$edge->target->{incoming_edges} = [ grep {  | 
| 
278
 | 
8
 | 
 
 | 
 
 | 
 
 | 
 
 | 
19
 | 
 			$_ != $edge  | 
| 
279
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		} $edge->target->incoming_edges ];  | 
| 
280
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		  | 
| 
281
 | 
8
 | 
 
 | 
 
 | 
 
 | 
 
 | 
19
 | 
 		for (0 .. int $edge->target->incoming_edges - 1) {  | 
| 
282
 | 
6
 | 
 
 | 
 
 | 
 
 | 
 
 | 
15
 | 
 			weaken $edge->target->{incoming_edges}->[$_];  | 
| 
283
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		}  | 
| 
284
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		  | 
| 
285
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		# delete references in edge index  | 
| 
286
 | 
43
 | 
 
 | 
 
 | 
 
 | 
 
 | 
52
 | 
 		$self->{edges} = [ grep {  | 
| 
287
 | 
8
 | 
 
 | 
 
 | 
 
 | 
 
 | 
11
 | 
 			$_ != $edge  | 
| 
288
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		} $self->edges ];  | 
| 
289
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	}  | 
| 
290
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	  | 
| 
291
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	  | 
| 
292
 | 
3
 | 
 
 | 
 
 | 
 
 | 
 
 | 
6
 | 
 	$self->_restore_edge_indexes;  | 
| 
293
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
294
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
295
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
296
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub _restore_edge_indexes {  | 
| 
297
 | 
3
 | 
 
 | 
 
 | 
  
3
  
 | 
 
 | 
2
 | 
 	my ($self) = @_;  | 
| 
298
 | 
3
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4
 | 
 	my $i = 0;  | 
| 
299
 | 
3
 | 
 
 | 
 
 | 
 
 | 
 
 | 
4
 | 
 	foreach ($self->edges) {  | 
| 
300
 | 
9
 | 
 
 | 
 
 | 
 
 | 
 
 | 
25
 | 
 		$_->{index} = $i++;  | 
| 
301
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	}  | 
| 
302
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
303
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
304
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
305
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 community_levels  | 
| 
306
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
307
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Returns an array reference containing L objects, which were identified by a previously executed community identification algorithm, usually the L algorithm.  | 
| 
308
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 With a hierarchical identification algorithm, the array containts the structures of the different levels from the finest-granular structure at index 0 to the most coarsely-granular structure at the last index.  | 
| 
309
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 If no such algorithm had been executed, it returns C.  | 
| 
310
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
311
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
312
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 communities  | 
| 
313
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
314
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Return a list of L objects, which were identified by a previously executed community identification algorithm, usually the L algorithm.  | 
| 
315
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 If no such algorithm was executed, returns C.  | 
| 
316
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
317
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
318
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
319
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub communities {  | 
| 
320
 | 
13
 | 
 
 | 
 
 | 
  
13
  
 | 
  
1
  
 | 
762
 | 
 	my ($self) = @_;  | 
| 
321
 | 
13
 | 
 
 | 
 
 | 
 
 | 
 
 | 
13
 | 
 	return @{ $self->{communities_ref} };  | 
| 
 
 | 
13
 | 
 
 | 
 
 | 
 
 | 
 
 | 
46
 | 
    | 
| 
322
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
323
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
324
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
325
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head2 modularity  | 
| 
326
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
327
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Return the modularity value based on the current communities of the network,  | 
| 
328
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 which were identified by a previously executed community identification algorithm,  | 
| 
329
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 usually the L algorithm.  | 
| 
330
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 If no such algorithm was executed, returns C.  | 
| 
331
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
332
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
333
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
334
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 sub modularity {  | 
| 
335
 | 
1
 | 
 
 | 
 
 | 
  
1
  
 | 
  
1
  
 | 
205
 | 
 	my ($self) = @_;  | 
| 
336
 | 
1
 | 
 
 | 
 
 | 
 
 | 
 
 | 
3
 | 
 	return sum map { $_->module_value } $self->communities;  | 
| 
 
 | 
4
 | 
 
 | 
 
 | 
 
 | 
 
 | 
8
 | 
    | 
| 
337
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 }  | 
| 
338
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
339
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
340
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
341
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 PLUGIN SYSTEM  | 
| 
342
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
343
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 This package can be extenden with plugins,  | 
| 
344
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 which gives you the possibility, to add your own algorithms, filters, and so on.  | 
| 
345
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Each class found in the namespace B  | 
| 
346
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 will be imported into the namespace of B,  | 
| 
347
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 and each class found in the namespace B  | 
| 
348
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 will be imported into the namespace of B.  | 
| 
349
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 With this mechanism, you can add methods to these classes.  | 
| 
350
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
351
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 For example:  | 
| 
352
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
353
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	package SNA::Network::Plugin::Foo;  | 
| 
354
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
355
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	use warnings;  | 
| 
356
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	use strict;  | 
| 
357
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
358
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	require Exporter;  | 
| 
359
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	use base qw(Exporter);  | 
| 
360
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	our @EXPORT = qw(foo);  | 
| 
361
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
362
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	sub foo {  | 
| 
363
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		my ($self) = @_;  | 
| 
364
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		# $self is a reference to our network object  | 
| 
365
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		# do something with it here  | 
| 
366
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 		...  | 
| 
367
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 	}  | 
| 
368
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
369
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 adds a new foo method to B.  | 
| 
370
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
371
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
372
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 SEE ALSO  | 
| 
373
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
374
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =over 4  | 
| 
375
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
376
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
377
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
378
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
379
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
380
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
381
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
382
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
383
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
384
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
385
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
386
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
387
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
388
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
389
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
390
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
391
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
392
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
393
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
394
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
395
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
396
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
397
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
398
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
399
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
400
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
401
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
402
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * L  | 
| 
403
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
404
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =back  | 
| 
405
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
406
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
407
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 AUTHOR  | 
| 
408
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
409
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Darko Obradovic, C<<  >>  | 
| 
410
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
411
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
412
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 BUGS  | 
| 
413
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
414
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Please report any bugs or feature requests to C, or through  | 
| 
415
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 the web interface at L.  I will be notified, and then you'll  | 
| 
416
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 automatically be notified of progress on your bug as I make changes.  | 
| 
417
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
418
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
419
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 SUPPORT  | 
| 
420
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
421
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 You can find documentation for this module with the perldoc command.  | 
| 
422
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
423
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
     perldoc SNA::Network  | 
| 
424
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
425
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
426
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 You can also look for information at:  | 
| 
427
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
428
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =over 4  | 
| 
429
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
430
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * RT: CPAN's request tracker  | 
| 
431
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
432
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 L  | 
| 
433
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
434
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * AnnoCPAN: Annotated CPAN documentation  | 
| 
435
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
436
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 L  | 
| 
437
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
438
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * CPAN Ratings  | 
| 
439
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
440
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 L  | 
| 
441
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
442
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =item * Search CPAN  | 
| 
443
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
444
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 L  | 
| 
445
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
446
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =back  | 
| 
447
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
448
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
449
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 ACKNOWLEDGEMENTS  | 
| 
450
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
451
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 This module has been developed as part of my work at the  | 
| 
452
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 German Research Center for Artificial Intelligence (DFKI) L.  | 
| 
453
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
454
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
455
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =head1 COPYRIGHT & LICENSE  | 
| 
456
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
457
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 Copyright 2009 Darko Obradovic, all rights reserved.  | 
| 
458
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
459
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 This program is free software; you can redistribute it and/or modify it  | 
| 
460
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 under the same terms as Perl itself.  | 
| 
461
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
462
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
463
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 =cut  | 
| 
464
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
    | 
| 
465
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 
 | 
 1; # End of SNA::Network  |