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Extremely Complex Problems

  • Christian Posthoff
  • Bernd Steinbach
Chapter

Abstract

In this chapter the problem of rectangle-free assignments of four colors to a grid will be explored that also can be considered as a problem of Ramsey numbers. It will also be shown that it is not sufficient to use logic equations; many other mathematical concepts also have to be used in order to solve the problem. We started this research because we wanted to know how far the power of logic equations and of ternary vectors will reach to solve a problem of this extreme complexity. The successful solution of such a problem can be taken as the borderline for the solution of similar problems.

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Copyright information

© Springer International Publishing AG 2019

Authors and Affiliations

  • Christian Posthoff
    • 1
  • Bernd Steinbach
    • 2
  1. 1.Computing and Information TechnologyUniversity of the West Indies (retired)ChemnitzGermany
  2. 2.Computer ScienceTU Bergakademie Freiberg (retired)ChemnitzGermany

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