This article is cited in 1 paper

Inequalities for functionals generated by bipartite graphs

A. F. Sidorenko


Abstract: Inequalities for integrals of products of functions of two variables are proved. The functions involved in the product are the same, but they have different pairs of arguments. The diagram of this product is a bipartite graph whose edges correspond to the multiplied functions and whose vertices correspond to their arguments. The inequalities obtained are then applied for solving problems concerning graph theory.

UDC: 519

Received: 29.05.1990

 English version: Discrete Mathematics and Applications, 1992, 2:5, 489–504

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