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<!DOCTYPE MAN SYSTEM "../../manrev.dtd">
<MAN>
  <LANGUAGE>eng</LANGUAGE>
  <TITLE>graph_complement</TITLE>
  <TYPE>Scilab function</TYPE>
  <DATE>September 1996</DATE>
  <SHORT_DESCRIPTION name="graph_complement"> complement of a graph</SHORT_DESCRIPTION>
  <CALLING_SEQUENCE>
    <CALLING_SEQUENCE_ITEM>g1 = graph_complement(g,[gmax])  </CALLING_SEQUENCE_ITEM>
  </CALLING_SEQUENCE>
  <PARAM>
    <PARAM_INDENT>
      <PARAM_ITEM>
        <PARAM_NAME>g</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: graph list</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>gmax</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: graph list</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
      <PARAM_ITEM>
        <PARAM_NAME>g1</PARAM_NAME>
        <PARAM_DESCRIPTION>
          <SP>: graph list of the new graph</SP>
        </PARAM_DESCRIPTION>
      </PARAM_ITEM>
    </PARAM_INDENT>
  </PARAM>
  <DESCRIPTION>
    <P><VERB>graph_complement</VERB> returns the undirected graph <VERB>g1</VERB> which is the 
    complement of the graph <VERB>g</VERB> with respect to the corresponding complete 
    graph.
    When <VERB>gmax</VERB> is given, the complement is made with respect to <VERB>gmax</VERB>.
    <VERB>g</VERB> and <VERB>gmax</VERB> are supposed to be simple graphs (use <VERB>graph_simp</VERB> 
    before calling <VERB>graph_complement</VERB> if necessary) and to have the same 
    number of nodes.</P>
  </DESCRIPTION>
  <EXAMPLE>
<![CDATA[
ta=[1 1 2 2 2 3 4 5 5 7 8 8 9 10 10 10 10 11 12 13 13 13 14 15 17 17 16 16];
he=[2 10 3 5 7 4 2 4 6 8 6 9 7 7 11 13 15 12 13 9 10 14 11 16 14 15 1 17];
g=make_graph('foo',1,17,ta,he);
g('node_x')=[283 163 63 57 164 164 273 271 339 384 504 513 439 623 631 757 642];
g('node_y')=[59 133 223 318 227 319 221 324 432 141 209 319 428 443 187 151 301];
g('edge_color')=modulo([1:(edge_number(g))],15)+1;
g('node_diam')=[1:(g('node_number'))]+20;
show_graph(g);
g1=graph_complement(g);
show_graph(g1,'new');
g=graph_complement(g1);
show_graph(g);
 ]]>
  </EXAMPLE>
  <SEE_ALSO>
    <SEE_ALSO_ITEM>
      <LINK>graph_sum</LINK>
    </SEE_ALSO_ITEM>
    <SEE_ALSO_ITEM>
      <LINK>graph_simp</LINK>
    </SEE_ALSO_ITEM>
  </SEE_ALSO>
</MAN>
