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  • 标题:Shortest Vertex-Disjoint Two-Face Paths in Planar Graphs
  • 本地全文:下载
  • 作者:E}ric Colin de Verdi{\'e}re ; Alexander Schrijver
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2008
  • 卷号:1
  • 页码:181-192
  • DOI:10.4230/LIPIcs.STACS.2008.1347
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Let $G$ be a directed planar graph of complexity~$n$, each arc having a nonnegative length. Let $s$ and~$t$ be two distinct faces of~$G$; let $s_1,ldots,s_k$ be vertices incident with~$s$; let $t_1,ldots,t_k$ be vertices incident with~$t$. We give an algorithm to compute $k$ pairwise vertex-disjoint paths connecting the pairs $(s_i,t_i)$ in~$G$, with minimal total length, in $O(knlog n)$ time.
  • 关键词:Algorithm; planar graph; disjoint paths; shortest path
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