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Divided symmetrization of a function f(x1,…,xn) is symmetrization of the ratio [Formula presented], where the product is taken over the set of edges of some graph G. We concentrate on the case when G is a tree and f is a polynomial of degree n−1, in this case DSG(f) is a constant function. We give a combinatorial interpretation of the divided symmetrization of monomials for general trees and probabilistic game interpretation for a tree which is a path. In particular, this implies a result by Postnikov originally proved by computing volumes of special polytopes, and suggests its generalization.
Язык оригинала | английский |
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Страницы (с-по) | 336-340 |
Число страниц | 5 |
Журнал | Discrete Mathematics |
Том | 341 |
Номер выпуска | 2 |
DOI | |
Состояние | Опубликовано - 1 фев 2018 |
ID: 36279828