Suresums

Abstract

Asuresum is a pair (A, n),A ⊂ {1, ...,n−1}, so that wheneverA is 2-colored some monochromatic set sums ton. A “finite basis” for the suresum (A, n) with |A| ≦c is proven to exist. Forc fixed, it is shown that no suresum (A, n) exist ifn is a sufficiently large prime. Generalizations tor-colorations,r>2, are discussed.

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References

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Spencer, J. Suresums. Combinatorica 1, 203–208 (1981). https://doi.org/10.1007/BF02579275

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AMS subject classification (1980)

  • 05 C 15