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MR826800 (87f:05037) 05B25 (51E05)
Drake, David A. Maximal $(k+1)$-cliques, that carry maximal $k$-cliques. Finite geometries (Winnipeg, Man., 1984), 107--116, Lecture Notes in Pure and Appl. Math., 103, Dekker, New York, 1985.
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