• Media type: E-Article; Electronic Conference Proceeding; Text
  • Title: Greedy Permutations and Finite Voronoi Diagrams (Media Exposition)
  • Contributor: Chubet, Oliver A. [Author]; Macnichol, Paul [Author]; Parikh, Parth [Author]; Sheehy, Donald R. [Author]; Sheth, Siddharth S. [Author]
  • imprint: Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2023
  • Language: English
  • DOI: https://doi.org/10.4230/LIPIcs.SoCG.2023.64
  • Keywords: Voronoi diagrams ; greedy permutation
  • Origination:
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  • Description: We illustrate the computation of a greedy permutation using finite Voronoi diagrams. We describe the neighbor graph, which is a sparse graph data structure that facilitates efficient point location to insert a new Voronoi cell. This data structure is not dependent on a Euclidean metric space. The greedy permutation is computed in O(nlog Δ) time for low-dimensional data using this method [Sariel Har-Peled and Manor Mendel, 2006; Donald R. Sheehy, 2020].
  • Access State: Open Access