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- W2061504352 abstract "Let {p1,…,pn}⊆Rd. We think of d≪n. How big is the largest subset X of points such that all of the distances determined by elements of (X2) are different? We show that X is at least Ω((n1/(6d)(logn)1/3)/d1/3). This is not the best known; however the technique is new. Assume that no 3 of the original points are in the line. How big is the largest subset X of points such that all of the areas determined by elements of (X3) are different? If d=2 then the the size is at least Ω((loglogn)1/186); if d=3 then the size is at least Ω((loglogn)1/396). All of our proofs use variants of the canonical Ramsey theorem and some geometric lemmas." @default.
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- W2061504352 date "2013-09-01" @default.
- W2061504352 modified "2023-10-14" @default.
- W2061504352 title "Applications of the Erdős-Rado Canonical Ramsey Theorem to Erdős-Type Problems" @default.
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- W2061504352 doi "https://doi.org/10.1016/j.endm.2013.07.048" @default.
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