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Dehkordi, Hooman Reisi; Frati, Fabrizio; Gudmundsson, Joachim (2014)
Languages: English
Types: Preprint
Subjects: Computer Science - Computational Geometry, Computer Science - Discrete Mathematics

Classified by OpenAIRE into

arxiv: Computer Science::Sound
ACM Ref: MathematicsofComputing_DISCRETEMATHEMATICS, TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY
We tackle the problem of constructing increasing-chord graphs spanning point sets. We prove that, for every point set P with n points, there exists an increasing-chord planar graph with O(n) Steiner points spanning P. Further, we prove that, for every convex point set P with n points, there exists an increasing-chord graph with O(n log n) edges (and with no Steiner points) spanning P.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

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