A canonical restricted version of van der waerden’s theorem |
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| Authors: | H -J Prömel B L Rothschild |
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| Institution: | 1. University of California, 90024, Los Angeles, USA
2. Inst. für Operations Research, Universit?t Bonn, 5300, Bonn-I, West Germany
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| Abstract: | It is shown that there is a subsetS of integers containing no (k+1)-term arithmetic progression such that if the elements ofS are arbitrarily colored (any number of colors),S will contain ak-term arithmetic progression for which all of its terms have the same color, or all have distinct colors. |
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| Keywords: | 05 C 55 |
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