Variations on the theme of repeated distances |
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Authors: | P. Erdős J. Pach |
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Affiliation: | (1) Mathematical Institute of the Hungarian Academy of Sciences, P.O. B. 127, H-1364 Budapest, Hungary |
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Abstract: | We give an asymptotically sharp estimate for the error term of the maximum number of unit distances determined byn points in d, d4. We also give asymptotically tight upper bounds on the total number of occurrences of the favourite distances fromn points in d, d4. Related results are proved for distances determined byn disjoint compact convex sets in 2.At the time this paper was written, both authors were visiting the Technion — Israel Institute of Technology. |
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Keywords: | 52 A 37 52 A 40 |
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