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u = 0 and v = 6 are in cliques that are 4-clique-connected because clique (0, 1, 2, 3) is 4-clique adjacent to clique (1, 2, 3, 4), which is in turn 4-clique-adjacent to clique (2, 3, 4, 5), which is 4-clique-adjacent to clique (3, 4, 5, 6). It is also easy to see that every three consecutive nodes build a 3-clique and that two subsequent 3-cliques are 3-clique-adjacent, as stated in Theorem 3. Thus, u and v are contained in cliques that are 3-clique-connected.
