Inequalities for functionals generated by bipartite graphs
Diskretnaya Matematika, Tome 3 (1991) no. 3, pp. 50-65
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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.
@article{DM_1991_3_3_a5,
author = {A. F. Sidorenko},
title = {Inequalities for functionals generated by bipartite graphs},
journal = {Diskretnaya Matematika},
pages = {50--65},
publisher = {mathdoc},
volume = {3},
number = {3},
year = {1991},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1991_3_3_a5/}
}
A. F. Sidorenko. Inequalities for functionals generated by bipartite graphs. Diskretnaya Matematika, Tome 3 (1991) no. 3, pp. 50-65. http://geodesic.mathdoc.fr/item/DM_1991_3_3_a5/