Smoothed analysis of three combinatorial problems

被引:0
|
作者
Banderier, C
Beier, R
Mehlhorn, K
机构
[1] Univ Paris 13, Inst Galilee, Lab Informat Paris Nord, F-93430 Villetaneuse, France
[2] Max Planck Inst Informat, D-66123 Saarbrucken, Germany
关键词
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Smoothed analysis combines elements over worst-case and average case analysis. For an instance x, the smoothed complexity is the average complexity of an instance obtained from x by a perturbation. The smoothed complexity of a problem is the worst smoothed complexity of any instance. Spielman and Teng introduced this notion for continuous problems. We apply the concept to combinatorial problems and study the smoothed complexity of three classical discrete problems: quicksort, left-to-right maxima counting, and shortest paths.
引用
收藏
页码:198 / 207
页数:10
相关论文
共 50 条
  • [31] A Parameterized Complexity Analysis of Combinatorial Feature Selection Problems
    Froese, Vincent
    van Bevern, Rene
    Niedermeier, Rolf
    Sorge, Manuel
    MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 2013, 2013, 8087 : 445 - 456
  • [32] ANALYSIS OF PROBABILISTIC COMBINATORIAL OPTIMIZATION PROBLEMS IN EUCLIDEAN SPACES
    JAILLET, P
    MATHEMATICS OF OPERATIONS RESEARCH, 1993, 18 (01) : 51 - 70
  • [33] PROBLEMS AND RESULTS IN COMBINATORIAL ANALYSIS AND GRAPH-THEORY
    ERDOS, P
    DISCRETE MATHEMATICS, 1988, 72 (1-3) : 81 - 92
  • [34] Comparative analysis of metaheuristics solving combinatorial optimization problems
    Turchyn, Olexander
    2007 PROCEEDINGS OF THE 9TH INTERNATIONAL CONFERENCE ON THE EXPERIENCE OF DESIGNING AND APPLICATION OF CAD SYSTEMS IN MICROELECTRONICS, 2007, : 276 - 277
  • [35] Smoothed analysis of κ(A)
    Wschebor, M
    JOURNAL OF COMPLEXITY, 2004, 20 (01) : 97 - 107
  • [36] Three dimensional smoothed fixed grid finite element method for the solution of unconfined seepage problems
    Kazemzadeh-Parsi, Mohammad Javad
    Daneshmand, Farhang
    FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2013, 64 : 24 - 35
  • [37] Coupled Analysis of Structural-Acoustic Problems Using the Cell-Based Smoothed Three-Node Mindlin Plate Element
    Gong, Z. X.
    Chai, Y. B.
    Li, W.
    INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2016, 13 (02)
  • [38] COMBINATORIAL PROBLEMS - FOREWORD
    TUCKER, AW
    IBM JOURNAL OF RESEARCH AND DEVELOPMENT, 1960, 4 (05) : 454 - 454
  • [39] SOME COMBINATORIAL PROBLEMS
    AKIYAMA, J
    HOSONO, K
    URABE, M
    DISCRETE MATHEMATICS, 1993, 116 (1-3) : 291 - 298
  • [40] CLASS OF COMBINATORIAL PROBLEMS
    AVRAMESCO, A
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1975, 281 (11): : 361 - 362