            we represent graphs with their adjacency matrices.  This representation is handy in Matlab because Matlab is rather efficient
            at working with the large sparse matrices that typically arise as adjacency matrices.
         </p>
         <p>To convert from <img src="demo_eq02910.png" alt="$G=(V,E)$"> to an adjacency matrix, we identify each vertex with a row of the matrix via a bijective map.  The adjacency matrix is then
            a <img src="demo_eq74756.png" alt="$|V| \times |V|$">