Canonical configurations |
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| Authors: | Joel Spencer |
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| Affiliation: | State University of New York at Stony Brook, Stony Brook, New York 11794 USA |
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| Abstract: | Given a finite configuration E in Rn and an arbitrary coloring of Rn (possibly with an infinite number of colors) it is shown that there exists E′ homothetic to E such that E′ is colored in a “special” way. The proof is based on the recent theorem of W. Deuber, R. L. Graham, H. J. Prömel, and B. Voigt, J. Combin. Theory Ser. A.34 (1983), 331–339. |
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