title: Finding Clique using graph and vertices
body: <p>PYTHON ONLY!!</p>
  
  <p>I have a graph</p>
  
  <pre><code>graph = [[0,1,1,1,0],
               [1,0,0,0,0],
               [0,1,0,1,1],
               [1,0,1,0,1],
               [0,0,1,1,0]]
  </code></pre>
  
  <p>The function clique(graph, vertices) should take an adjacency matrix
  representation of a graph, a list of one or more vertices, and return a boolean True if the vertices create a clique
  (every person is friends with every other person), otherwise return False.</p>
  
  <pre><code> `def clique(graph, vertices)` 
  </code></pre>
  
  <p>I want to find out whether does a clique exists in the graph above </p>
  
  <p>If yes the output should be True, otherwise False</p>
  
  <p>eg. 'clique', (graph,[2,3,4]), True)]</p>
  
  <p>Explanation needed thanks!</p>