Searching for an axis-parallel shoreline

  • Authors:
  • Elmar Langetepe

  • Affiliations:
  • University of Bonn, Department of Computer Science I, Bonn, Germany

  • Venue:
  • COCOA'10 Proceedings of the 4th international conference on Combinatorial optimization and applications - Volume Part I
  • Year:
  • 2010

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Abstract

We are searching for an unknown horizontal or vertical line in the plane under the competitive framework. We design a framework for lower bounds on all cyclic and monotone strategies that result in two-sequence functionals. For optimizing such functionals we apply a method that combines two main paradigms. The given solution shows that the combination method is of general interest. Finally, we obtain the current best strategy and can prove that this is the best strategy among all cyclic and monotone strategies which is a main step toward a lower bound construction.