1. then at the beginning of the period t, for k = ? and n = t, there are k n-cliques and k singletons. We seek to show that at the end of the period;? If t > 1 and ?(t + 1) = ?(t + 1)
2. then at the beginning of the period t, for some k = ? and n = t, there are k n-cliques and k + 1 singletons. We seek to show that at the end of the period;? If t > 1 and ?t = ?t and ?(t + 1) > ?(t + 1)
3. + 1) ? ?t > ?, then at the beginning of the period t, for k = ? and m = ?t ? ?t and j = ?(t + 1) ? ?t, there are k n-cliques, one m-clique, and j singletons. We seek to show that at the end of the period;? If t > 1 and ?t > ?t and ?