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  • 标题:Faster Algorithms for Computing Plurality Points
  • 本地全文:下载
  • 作者:Mark de Berg ; Joachim Gudmundsson ; Mehran Mehr
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2016
  • 卷号:51
  • 页码:32:1-32:15
  • DOI:10.4230/LIPIcs.SoCG.2016.32
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Let V be a set of n points in R^d, which we call voters, where d is a fixed constant. A point p in R^d is preferred over another point p' in R^d by a voter v in V if dist(v,p) and the distance from v to any point p in R^d is given by sum_{i=1}^d w_i(v) cdot |x_i(v)-x_i(p)|. For this case we can compute in O(n^(d-1)) time the set of all plurality points of V. When all preference vectors are equal, the running time improves to O(n).
  • 关键词:computational geometry; computational social choice; voting theory; plurality points; Condorcet points
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