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How hard are n2-hard problems?

Published:01 June 1994Publication History
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Abstract

Many of the "n2-hard" problems described by Gajentaan and Overmars can be solved using limited nondeterminism or other sharply-bounded quantifiers. Thus we suggest that problems are not among the hardest problems solvable in quadratic time

References

  1. [1] S. A. Bloch, J. F. Buss, J. Goldsmith, "Sharply Bounded Quantifiers within P," technical report CS94-21. University of Waterloo, 1994.Google ScholarGoogle Scholar
  2. [2] S. A. Bloch, J. Goldsmith, "Sharply Bounded Alternation within P," technical report 92-04, University of Manitoba, 1992.Google ScholarGoogle Scholar
  3. [3] J. F. Buss, J. Goldsmith, "Nondeterminism within P," SIAM J. Computing 22 (1993) 560-572. Google ScholarGoogle ScholarDigital LibraryDigital Library
  4. [4] A. Gajentaan, M. H. Overmars, "n2-Hard Problems in Computational Geometry," techical report RUU_CS-93-15, Utrecht Univ., 1993.Google ScholarGoogle Scholar
  5. [5] J. O'Rourke, "Computational Geometry Column 22," SIGACT News 25,1 (March 1994) 31-33. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. [6] C. P. Schnorr, "Satisfiability is Quasilinear Complete in NQL," J. Assoc. Comput. Mach. 25 (1978) 136-145. Google ScholarGoogle ScholarDigital LibraryDigital Library

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  1. How hard are n2-hard problems?

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        cover image ACM SIGACT News
        ACM SIGACT News  Volume 25, Issue 2
        June 1994
        32 pages
        ISSN:0163-5700
        DOI:10.1145/181462
        Issue’s Table of Contents

        Copyright © 1994 Authors

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 1 June 1994

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