• DocumentCode
    2042401
  • Title

    Simulating (logcn)-wise independence in NC

  • Author

    Berger, Bonnie ; Rompel, John

  • Author_Institution
    MIT Lab. for Comput. Sci., Cambridge, MA, USA
  • fYear
    1989
  • fDate
    30 Oct-1 Nov 1989
  • Firstpage
    2
  • Lastpage
    7
  • Abstract
    A general framework is developed for removing randomness from randomized NC algorithms whose analysis uses only polylogarithmic independence. Previously, no techniques were known to determinize those RNC algorithms depending on more than constant independence. One application of the techniques is an NC algorithm for the set discrepancy problem, which can be used to obtain many other NC algorithms, including a better NC edge-coloring algorithm. As another application an NC algorithm for the hypergraph coloring problem is provided
  • Keywords
    computational complexity; graph colouring; (logcn)-wise independence; NC edge-coloring algorithm; RNC algorithms; hypergraph coloring problem; polylogarithmic independence; randomized NC algorithms; randomness removal; set discrepancy problem; simulation; Lattices; Out of order; Polynomials; Random variables;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Foundations of Computer Science, 1989., 30th Annual Symposium on
  • Conference_Location
    Research Triangle Park, NC
  • Print_ISBN
    0-8186-1982-1
  • Type

    conf

  • DOI
    10.1109/SFCS.1989.63447
  • Filename
    63447