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    <title>rankPoset -- generates a list of lists representing the ranks of a ranked poset</title>
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      <h1>rankPoset -- generates a list of lists representing the ranks of a ranked poset</h1>
      <ul>
        <li>
          <dl class="element">
            <dt>Usage: </dt>
            <dd><code class="language-macaulay2">L = rankPoset P</code></dd>
            <dd><code class="language-macaulay2">L = rank Poset</code></dd>
          </dl>
        </li>
        <li>Inputs:          <ul>
            <li><span><span class="tt">P</span>, <span>an instance of the type <a title="a class for partially ordered sets (posets)" href="___Poset.html">Poset</a></span>, </span></li>
          </ul>
        </li>
        <li>Outputs:          <ul>
            <li><span><span class="tt">L</span>, <span>a <a title="the class of all lists -- {...}" href="../../Macaulay2Doc/html/___List.html">list</a></span>, containing lists such that the $i$th list is the set of vertices in the $i$th rank of $P$</span></li>
          </ul>
        </li>
      </ul>
      <div>
        <h2>Description</h2>
        <div>
          <p>The poset $P$ is ranked if there exists an integer function $r$ on the vertex set of $P$ such that for each $a$ and $b$ in the poset if $b$ covers $a$ then $r(b) - r(a) = 1$.</p>
          <p>This method returns the list of vertices in each rank.</p>
        </div>
        <table class="examples">
          <tr>
            <td>
              <pre><code class="language-macaulay2">i1 : rankPoset chain 5

o1 = {{1}, {2}, {3}, {4}, {5}}

o1 : List</code></pre>
            </td>
          </tr>
          <tr>
            <td>
              <pre><code class="language-macaulay2">i2 : rankPoset booleanLattice 3

o2 = {{000}, {001, 010, 100}, {011, 101, 110}, {111}}

o2 : List</code></pre>
            </td>
          </tr>
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        <div>
          <p>This method uses the method <a title="computes the rank function of a ranked poset" href="_rank__Function.html">rankFunction</a>, which was ported from John Stembridge's Maple package available at <a href="http://www.math.lsa.umich.edu/~jrs/maple.html#posets">http://www.math.lsa.umich.edu/~jrs/maple.html#posets</a>.</p>
        </div>
      </div>
      <div>
        <h2>See also</h2>
        <ul>
          <li><span><a title="determines if a poset is ranked" href="_is__Ranked.html">isRanked</a> -- determines if a poset is ranked</span></li>
          <li><span><a title="computes the rank function of a ranked poset" href="_rank__Function.html">rankFunction</a> -- computes the rank function of a ranked poset</span></li>
        </ul>
      </div>
      <div>
        <div class="waystouse">
          <h2>Ways to use <span class="tt">rankPoset</span>:</h2>
          <ul>
            <li><kbd>rankPoset(Poset)</kbd></li>
          </ul>
        </div>
        <div class="waystouse">
          <h2>For the programmer</h2>
          <p>The object <a title="generates a list of lists representing the ranks of a ranked poset" href="_rank__Poset.html">rankPoset</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function.html">method function</a></span>.</p>
        </div>
        <hr>
        <div class="waystouse">
          <p>The source of this document is in <span class="tt">Posets.m2:4611:0</span>.</p>
        </div>
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