• DocumentCode
    2366635
  • Title

    A linear-processor polylog-time algorithm for shortest paths in planar graphs

  • Author

    Klein, Philip N. ; Subramanian, Sairam

  • Author_Institution
    Brown Univ., Providence, RI, USA
  • fYear
    1993
  • fDate
    3-5 Nov 1993
  • Firstpage
    259
  • Lastpage
    270
  • Abstract
    We give an algorithm requiring polylog time and a linear number of processors to solve single-source shortest paths in directed planar graphs, bounded-genus graphs, and 2-dimensional overlap graphs. More generally, the algorithm works for any graph provided with a decomposition tree constructed using size-O(√n polylog n) separators
  • Keywords
    computational geometry; directed graphs; 2-dimensional overlap graphs; bounded-genus graphs; decomposition tree; directed planar graphs; linear-processor polylog-time algorithm; planar graphs; separators; shortest paths; Concurrent computing; Contracts; Parallel algorithms; Particle separators; Transmission line matrix methods; Tree graphs;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Foundations of Computer Science, 1993. Proceedings., 34th Annual Symposium on
  • Conference_Location
    Palo Alto, CA
  • Print_ISBN
    0-8186-4370-6
  • Type

    conf

  • DOI
    10.1109/SFCS.1993.366861
  • Filename
    366861