We conjecture an integral inequality for a product of functions h(xi, yj) where the diagram of the product is a bipartite graph G. In particular, this inequality states that the random graph withâ€¦ (More)

Three classes of finite structures are related by extremal properties: complete d-partite d-uniform hypergraphs, d-dimensional affine cubes of integers, and families of 2 sets forming a d-dimensionalâ€¦ (More)

We consider the two problems from extremal graph theory: 1. Given integer N, real pE(0, 1) and a graph G, what is the minimum number of 2. Given an integer N and a graph G, what is the minimum numberâ€¦ (More)

Taking an ordinary graph L 2 and replacing each of its vertices by a group of r/2 vertices (r is even), ~e get an r-uniform hypergraph L'. In the case z(L 2) = 2" + 1, we solve asymptotically theâ€¦ (More)