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- W2162724247 abstract "We investigate the structure of finite sets A⊆Z where |A+A| is large. We present a combinatorial construction that serves as a counterexample to natural conjectures in the pursuit of an “anti-Freiman” theory in additive combinatorics. In particular, we answer a question along these lines posed by O’Bryant. Our construction also answers several questions about the nature of finite unions of B2[g] and B2∘[g] sets, and enables us to construct a Λ(4) set which does not contain large B2[g] or B2∘[g] sets." @default.
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- W2162724247 date "2011-07-01" @default.
- W2162724247 modified "2023-09-27" @default.
- W2162724247 title "On the structure of sets of large doubling" @default.
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- W2162724247 doi "https://doi.org/10.1016/j.ejc.2011.03.001" @default.
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