The Shifted Turan Sieve Method on Tournaments
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Authors
Kuo, Wentang
Liu, Yu-Ru
Ribas, Savio
Zhou, Kevin
Advisor
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Publisher
Cambridge University Press
Abstract
Abstract. We construct a shi ed version of the Turán sieve method developed by R. Murty and the
second author and apply it to counting problems on tournaments. More precisely, we obtain upper
bounds for the number of tournaments which contain a fixed number of restricted r-cycles. These are
the first concrete results which count the number of cycles over “all tournaments”.
Description
This article has been published in a revised form in the Canadian Mathematical Bulletin http://dx.doi.org/10.4153/S000843951900016X. This version is free to view and download for private research and study only. Not for re-distribution, re-sale or use in derivative works. Copyright © Canadian Mathematical Society 2019.