title: Java Jung Vertex Cuts in Graphs
body: <p>I am trying to do vertex cuts on graphs in the JUNG graph package. This is best explained by the following pictures:<img src="https://i.stack.imgur.com/MsHgy.png" alt="Before the Vertex Cut"></p>
  
  <p>Now, I am going to cut vertex "c1" out of the graph:
  <img src="https://i.stack.imgur.com/2ux5c.png" alt="After the Vertex Cut"></p>
  
  <p>As you can see vertex "c1" has been removed from the graph, but so have the vertices "c2" and "c3"</p>
  
  <p><strong>I want the vertices "c2" and "c3" to stay in the graph when I cut vertex "c1".</strong> </p>
  
  <p>I am using the <code>removeVertex(V vertex)</code> function to remove vertex "c1" from the graph.</p>
  
  <ol>
  <li>How can I implement my code to keep vertices "c2" and "c3" when I cut vertex "c1"?</li>
  <li>I am using a Forest as my graph type</li>
  </ol>