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  • 标题:New Applications of Nearest-Neighbor Chains: Euclidean TSP and Motorcycle Graphs
  • 本地全文:下载
  • 作者:Nil Mamano ; Alon Efrat ; David Eppstein
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2019
  • 卷号:149
  • 页码:1-21
  • DOI:10.4230/LIPIcs.ISAAC.2019.51
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We show new applications of the nearest-neighbor chain algorithm, a technique that originated in agglomerative hierarchical clustering. We use it to construct the greedy multi-fragment tour for Euclidean TSP in O(n log n) time in any fixed dimension and for Steiner TSP in planar graphs in O(n sqrt(n)log n) time; we compute motorcycle graphs, a central step in straight skeleton algorithms, in O(n^(4/3+epsilon)) time for any epsilon>0.
  • 关键词:Nearest-neighbors; Nearest-neighbor chain; motorcycle graph; straight skeleton; multi-fragment algorithm; Euclidean TSP; Steiner TSP
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