Graphs and Combinatorics

, Volume 2, Issue 1, pp 269–275 | Cite as

On sets of integers with the Schur property

  • Jaroslav Nešetřil
  • Vojtěch Rödl


We investigate sets of integers for which Rado and Schur theorems are true from the point of view of their local density. We establish the existence of locally sparse Rado and Schur sets in a strong sense.


Local Density Strong Sense 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Jaroslav Nešetřil
    • 1
  • Vojtěch Rödl
    • 2
    • 3
  1. 1.Department of MathematicsCharles UniversityPrague 1Czechoslovakia
  2. 2.Department of MathematicsFJFI, ČVUTPraha 1Czechoslovakia
  3. 3.AT & T Bell LaboratoriesMurray HillUSA

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