1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
|
<!DOCTYPE html>
<html>
<head>
<meta http-equiv='content-type' value='text/html;charset=utf8'>
<meta name='generator' value='Ronn/v0.7.3 (http://github.com/rtomayko/ronn/tree/0.7.3)'>
<title>hv_net(1) - Sample a random graph with an assigned joint degree distribution</title>
<style type='text/css' media='all'>
/* style: man */
body#manpage {margin:0}
.mp {max-width:100ex;padding:0 9ex 1ex 4ex}
.mp p,.mp pre,.mp ul,.mp ol,.mp dl {margin:0 0 20px 0}
.mp h2 {margin:10px 0 0 0}
.mp > p,.mp > pre,.mp > ul,.mp > ol,.mp > dl {margin-left:8ex}
.mp h3 {margin:0 0 0 4ex}
.mp dt {margin:0;clear:left}
.mp dt.flush {float:left;width:8ex}
.mp dd {margin:0 0 0 9ex}
.mp h1,.mp h2,.mp h3,.mp h4 {clear:left}
.mp pre {margin-bottom:20px}
.mp pre+h2,.mp pre+h3 {margin-top:22px}
.mp h2+pre,.mp h3+pre {margin-top:5px}
.mp img {display:block;margin:auto}
.mp h1.man-title {display:none}
.mp,.mp code,.mp pre,.mp tt,.mp kbd,.mp samp,.mp h3,.mp h4 {font-family:monospace;font-size:14px;line-height:1.42857142857143}
.mp h2 {font-size:16px;line-height:1.25}
.mp h1 {font-size:20px;line-height:2}
.mp {text-align:justify;background:#fff}
.mp,.mp code,.mp pre,.mp pre code,.mp tt,.mp kbd,.mp samp {color:#131211}
.mp h1,.mp h2,.mp h3,.mp h4 {color:#030201}
.mp u {text-decoration:underline}
.mp code,.mp strong,.mp b {font-weight:bold;color:#131211}
.mp em,.mp var {font-style:italic;color:#232221;text-decoration:none}
.mp a,.mp a:link,.mp a:hover,.mp a code,.mp a pre,.mp a tt,.mp a kbd,.mp a samp {color:#0000ff}
.mp b.man-ref {font-weight:normal;color:#434241}
.mp pre {padding:0 4ex}
.mp pre code {font-weight:normal;color:#434241}
.mp h2+pre,h3+pre {padding-left:0}
ol.man-decor,ol.man-decor li {margin:3px 0 10px 0;padding:0;float:left;width:33%;list-style-type:none;text-transform:uppercase;color:#999;letter-spacing:1px}
ol.man-decor {width:100%}
ol.man-decor li.tl {text-align:left}
ol.man-decor li.tc {text-align:center;letter-spacing:4px}
ol.man-decor li.tr {text-align:right;float:right}
</style>
<style type='text/css' media='all'>
/* style: toc */
.man-navigation {display:block !important;position:fixed;top:0;left:113ex;height:100%;width:100%;padding:48px 0 0 0;border-left:1px solid #dbdbdb;background:#eee}
.man-navigation a,.man-navigation a:hover,.man-navigation a:link,.man-navigation a:visited {display:block;margin:0;padding:5px 2px 5px 30px;color:#999;text-decoration:none}
.man-navigation a:hover {color:#111;text-decoration:underline}
</style>
</head>
<!--
The following styles are deprecated and will be removed at some point:
div#man, div#man ol.man, div#man ol.head, div#man ol.man.
The .man-page, .man-decor, .man-head, .man-foot, .man-title, and
.man-navigation should be used instead.
-->
<body id='manpage'>
<div class='mp' id='man'>
<div class='man-navigation' style='display:none'>
<a href="#NAME">NAME</a>
<a href="#SYNOPSIS">SYNOPSIS</a>
<a href="#DESCRIPTION">DESCRIPTION</a>
<a href="#PARAMETERS">PARAMETERS</a>
<a href="#EXAMPLES">EXAMPLES</a>
<a href="#SEE-ALSO">SEE ALSO</a>
<a href="#REFERENCES">REFERENCES</a>
<a href="#AUTHORS">AUTHORS</a>
</div>
<ol class='man-decor man-head man head'>
<li class='tl'>hv_net(1)</li>
<li class='tc'>www.complex-networks.net</li>
<li class='tr'>hv_net(1)</li>
</ol>
<h2 id="NAME">NAME</h2>
<p class="man-name">
<code>hv_net</code> - <span class="man-whatis">Sample a random graph with an assigned joint degree distribution</span>
</p>
<h2 id="SYNOPSIS">SYNOPSIS</h2>
<p><code>hv_net</code> <var>graph_in</var> [SHOW]</p>
<h2 id="DESCRIPTION">DESCRIPTION</h2>
<p><code>hv_net</code> samples a random graph whose joint degree distribution is
equal to that of another graph provided as input, using the
hidden-variable model proposed by Boguna ans Pastor-Satorras.</p>
<h2 id="PARAMETERS">PARAMETERS</h2>
<dl>
<dt><var>graph_in</var></dt><dd><p> File containing the edge list of the existing graph. If equal to
'-' (dash), read the edge list from STDIN.</p></dd>
<dt class="flush">SHOW</dt><dd><p> If the second parameter is equal to <code>SHOW</code>, the program prints on
STDERR the hidden variable and actual degree of each node.</p></dd>
</dl>
<h2 id="EXAMPLES">EXAMPLES</h2>
<p>Let us assume that we want to create a graph whose joint degree
distribution is equal to that of the graph contained in
<code>AS-20010316.net</code> (i.e., the graph of the Internet at the AS level in
March 2001). We can use the command:</p>
<pre><code> $ hv_net AS-20010316.net > AS-20010316.net_rand
</code></pre>
<p>which will sample a random graph with the same joint-degree
distribution and will save its edge list in the file
<code>AS-20010316.net_rand</code> (notice the STDOUT redirection operator
<code>></code>). Additionally, we can also save the values of the hidden
variables and actual degrees of the nodes by specifying <code>SHOW</code> as a
second parameter:</p>
<pre><code> $ hv_net AS-20010316.net SHOW > AS-20010316.net_rand 2>AS-20010316.net_rand_hv
</code></pre>
<p>In this case, the file <code>AS-20010316.net_rand_hv</code> will contain the
values of the hidden variable of each node and of the actual degree of
the node in the sampled graph, in the format:</p>
<pre><code> h1 k1
h2 k2
....
</code></pre>
<h2 id="SEE-ALSO">SEE ALSO</h2>
<p><a class="man-ref" href="conf_model_deg.1.html">conf_model_deg<span class="s">(1)</span></a>, <a class="man-ref" href="conf_model_deg_nocheck.1.html">conf_model_deg_nocheck<span class="s">(1)</span></a></p>
<h2 id="REFERENCES">REFERENCES</h2>
<ul>
<li><p>M. Boguna and R. Pastor-Satorras. "Class of correlated random
networks with hidden variables". Phys. Rev. E 68 (2003), 036112.</p></li>
<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
Methods and Applications", Chapter 7, Cambridge University Press
(2017)</p></li>
<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
Methods and Applications", Appendix 14, Cambridge University Press
(2017)</p></li>
</ul>
<h2 id="AUTHORS">AUTHORS</h2>
<p>(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 <code><v.nicosia@qmul.ac.uk></code>.</p>
<ol class='man-decor man-foot man foot'>
<li class='tl'>www.complex-networks.net</li>
<li class='tc'>September 2017</li>
<li class='tr'>hv_net(1)</li>
</ol>
</div>
</body>
</html>
|