On Subgraphs of the Complete Bipartite Graph

Abstract
G(n) denotes a graph of n vertices and Ḡ(n) denotes its complementary graph. In a complete graph every two distinct vertices are joined by an edge. Let Ck(G(n)) denote the number of complete subgraphs of k vertices contained in G(n). Recently it was proved [1] that for every k 1 where the minimum is over all graphs G(n).

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