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authorKatolaZ <katolaz@freaknet.org>2017-09-27 15:06:31 +0100
committerKatolaZ <katolaz@freaknet.org>2017-09-27 15:06:31 +0100
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+ <title>bbv(1) - Grow a weighted scale-free random graph</title>
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+<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="#OUTPUT">OUTPUT</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'>bbv(1)</li>
+ <li class='tc'>www.complex-networks.net</li>
+ <li class='tr'>bbv(1)</li>
+ </ol>
+
+ <h2 id="NAME">NAME</h2>
+<p class="man-name">
+ <code>bbv</code> - <span class="man-whatis">Grow a weighted scale-free random graph</span>
+</p>
+
+<h2 id="SYNOPSIS">SYNOPSIS</h2>
+
+<p><code>bbv</code> <var>N</var> <var>m</var> <var>n0</var> <var>w0</var> <var>delta</var></p>
+
+<h2 id="DESCRIPTION">DESCRIPTION</h2>
+
+<p><code>bbv</code> grows an undirected weighted random scale-free graph with <var>N</var>
+nodes using the model proposed by Barrat, Barthelemy, and
+Vespignani. The initial network is a clique of <var>n0</var> nodes, and each
+new node creates <var>m</var> new edges, each with weight <var>w0</var>. The parameter
+<var>delta</var> sets the amount of weight to be redistributed in the
+neighbourhood of newly-connected nodes.</p>
+
+<h2 id="PARAMETERS">PARAMETERS</h2>
+
+<dl>
+<dt class="flush"><var>N</var></dt><dd><p> Number of nodes of the final graph.</p></dd>
+<dt class="flush"><var>m</var></dt><dd><p> Number of edges created by each new node.</p></dd>
+<dt class="flush"><var>n0</var></dt><dd><p> Number of nodes in the initial (seed) graph.</p></dd>
+<dt class="flush"><var>w0</var></dt><dd><p> Weight of each new edge (must be >=0)</p></dd>
+<dt class="flush"><var>delta</var></dt><dd><p> The amount of weight to be redistributed among the neighbours of
+ newly-connected nodes.</p></dd>
+</dl>
+
+
+<h2 id="OUTPUT">OUTPUT</h2>
+
+<p><code>bbv</code> prints on STDOUT the edge list of the final graph, which
+consists of three columns:</p>
+
+<pre><code> node1 node2 weight
+</code></pre>
+
+<p>where <code>weight</code> is the weight of the corresponding edge. Please note
+that each edge is printed only once.</p>
+
+<h2 id="EXAMPLES">EXAMPLES</h2>
+
+<p>The following command:</p>
+
+<pre><code> $ bbv 10000 3 5 1.0 0.5 &gt; bbv_10000_3_5_1.0_0.5.txt
+</code></pre>
+
+<p>creates a weighted scale-free graph with <var>N=10000</var> nodes, where each
+new node creates <var>m=3</var> new edges and the initial seed network is a
+ring of <var>n0=5</var> nodes. Each new edge has an initial weight equal to
+<var>w0</var>. The weights of existing edges are rearranged after the addition
+of a new edge, by rearranging an amount of weight equal to <var>delta</var>.
+The final graph is saved in the file <code>bbv_10000_3_5_1.0_0.5.txt</code>
+(notice the STDOUT redirection operator <code>&gt;</code>).</p>
+
+<h2 id="SEE-ALSO">SEE ALSO</h2>
+
+<p><a class="man-ref" href="ba.1.html">ba<span class="s">(1)</span></a>, <a class="man-ref" href="bb_fitness.1.html">bb_fitness<span class="s">(1)</span></a>, <a class="man-ref" href="dms.1.html">dms<span class="s">(1)</span></a></p>
+
+<h2 id="REFERENCES">REFERENCES</h2>
+
+<ul>
+<li><p>A. Barrat, M. Barthelemy, and A. Vespignani. "Weighted Evolving
+Networks: Coupling Topology and Weight Dynamics".
+Phys. Rev. Lett. 92 (2004), 228701.</p></li>
+<li><p>A. Barrat, M. Barthelemy, and A. Vespignani. "Modeling the
+evolution of weighted networks". Phys. Rev. E 70 (2004), 066149.</p></li>
+<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
+Methods and Applications", Chapter 6, Cambridge University Press
+(2017)</p></li>
+<li><p>V. Latora, V. Nicosia, G. Russo, "Complex Networks: Principles,
+Methods and Applications", Appendix 13, Cambridge University Press
+(2017)</p></li>
+</ul>
+
+
+<h2 id="AUTHORS">AUTHORS</h2>
+
+<p>(c) Vincenzo 'KatolaZ' Nicosia 2009-2017 <code>&lt;v.nicosia@qmul.ac.uk&gt;</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'>bbv(1)</li>
+ </ol>
+
+ </div>
+</body>
+</html>