title: Understanding average_degree_connectivity in networkx?
body: <p>I have some hard time to understand this graph quantity: <a href="https://networkx.github.io/documentation/stable/reference/algorithms/generated/networkx.algorithms.assortativity.average_degree_connectivity.html?highlight=average_degree_connectivity" rel="nofollow noreferrer">networkx.algorithms.assortativity.average_degree_connectivity</a></p>
  
  <p><a href="https://i.stack.imgur.com/0Cc2o.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/0Cc2o.png" alt="enter image description here"></a></p>
  
  <p><code>average_neighbor_degree</code> returns a node id and its average_neighbor_degree:</p>
  
  <blockquote>
    <p>d – A dictionary keyed by node with average neighbors degree value.</p>
  </blockquote>
  
  <p>However, I can't understand what <code>average_degree_connectivity</code> is? It returns:</p>
  
  <blockquote>
    <p>d – A dictionary keyed by degree k with the value of average connectivity.</p>
  </blockquote>
  
  <p>For example, for three graphs the <code>average_degree_connectivity</code> vs. <code>average neighbors degree value.</code> look as follows. What does <code>average neighbors degree value.</code> mean?
  <a href="https://i.stack.imgur.com/0KXwM.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/0KXwM.png" alt="enter image description here"></a></p>
  
  <ol>
  <li>What does <code>average_degree_connectivity</code> represent?</li>
  <li>How is <a href="https://networkx.github.io/documentation/stable/reference/algorithms/generated/networkx.algorithms.assortativity.average_neighbor_degree.html?highlight=average_neighbor_degree#networkx.algorithms.assortativity.average_neighbor_degree" rel="nofollow noreferrer"><code>average_neighbor_degree</code></a> related to <code>average_degree_connectivity</code>?</li>
  </ol>