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The initial network is a ring of <var>n0</var> nodes, and each new node +creates <var>m</var> new edges. The resulting graph will have a scale-free +degree distribution, whose exponent converges to <code>gamma=3.0</code> for large +<var>N</var>.</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> +</dl> + + +<h2 id="OUTPUT">OUTPUT</h2> + +<p><code>ba</code> prints on STDOUT the edge list of the final graph.</p> + +<h2 id="EXAMPLES">EXAMPLES</h2> + +<p>The following command:</p> + +<pre><code> $ ba 10000 3 5 > ba_10000_3_5.txt +</code></pre> + +<p>creates a Barabasi-Albert 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. The edge list of the graph is saved in the +file <code>ba_10000_3_5.txt</code> (thanks to the redirection operator <code>></code>).</p> + +<h2 id="SEE-ALSO">SEE ALSO</h2> + +<p><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>, <a class="man-ref" href="bbv.1.html">bbv<span class="s">(1)</span></a></p> + +<h2 id="REFERENCES">REFERENCES</h2> + +<ul> +<li><p>A.-L. Barabasi, R. Albert, "Emergence of scaling in random +networks", Science 286, 509-512 (1999).</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><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'>ba(1)</li> + </ol> + + </div> +</body> +</html> |