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A correlation inequality for bipartite graphs

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Abstract

We conjecture an integral inequality for a product of functionsh(x i ,y j ) where the diagram of the product is a bipartite graphG. In particular, this inequality states that the random graph with fixed numbers of vertices and edges contains the asymptotically minimal number of copies ofG.

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  1. Courant Institute of Mathematical Sciences, 251 Mercer St., 10012, New York, NY, USA

    Alexander Sidorenko

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  1. Alexander Sidorenko
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Sidorenko, A. A correlation inequality for bipartite graphs. Graphs and Combinatorics 9, 201–204 (1993). https://doi.org/10.1007/BF02988307

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