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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 8, Pages 1503–1509
(Mi zvmmf4742)
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This article is cited in 7 scientific papers (total in 7 papers)
Solution of the Cameron–Erdős problem for groups of prime order
A. A. Sapozhenko Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119992, Russia
Abstract:
A subset $A$ of a group $G$ is sum-free if $a+b$ does not belong to $A$ for any $a,b\in A$. Asymptotics of the number of sum-free sets in groups of prime order are proved.
Key words:
sum-free set, independent set.
Received: 30.10.2008 Revised: 01.12.2008
Citation:
A. A. Sapozhenko, “Solution of the Cameron–Erdős problem for groups of prime order”, Zh. Vychisl. Mat. Mat. Fiz., 49:8 (2009), 1503–1509; Comput. Math. Math. Phys., 49:8 (2009), 1435–1441
Linking options:
https://www.mathnet.ru/eng/zvmmf4742 https://www.mathnet.ru/eng/zvmmf/v49/i8/p1503
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Abstract page: | 346 | Full-text PDF : | 107 | References: | 51 | First page: | 6 |
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