.. _sphx_glr_api_gallery_combinatorics_matching:

Matchings
---------

Hall's marriage theorem and bipartite matchings.


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


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

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    <div class="sphx-glr-thumbcontainer" tooltip="Checks Hall&#x27;s condition on random bipartite graphs and confirms that it holds exactly when a matching covers every left vertex. When it fails, the example prints the subset whose neighbourhood is too small.">

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  .. image:: /api/gallery/combinatorics/matching/images/thumb/sphx_glr_plot_01_hall_marriage_thumb.png
    :alt:

  :doc:`/api/gallery/combinatorics/matching/plot_01_hall_marriage`

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      <div class="sphx-glr-thumbnail-title">Hall's marriage theorem</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /api/gallery/combinatorics/matching/plot_01_hall_marriage