.. _sphx_glr_api_gallery_combinatorics_trees:

Labeled trees
-------------

Cayley's formula and Prüfer codes.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Encodes labeled trees as Prüfer sequences and decodes every sequence of length n-2 back to a tree. The correspondence is one-to-one, so there are n^(n-2) labeled trees on n vertices.">

.. only:: html

  .. image:: /api/gallery/combinatorics/trees/images/thumb/sphx_glr_plot_01_prufer_codes_thumb.png
    :alt:

  :doc:`/api/gallery/combinatorics/trees/plot_01_prufer_codes`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Cayley's formula via Prüfer codes</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/combinatorics/trees/plot_01_prufer_codes