Bounding the Expected Length of Longest Common Subsequences and Forests

被引:0
|
作者
R. A. Baeza-Yates
R. Gavaldà
G. Navarro
R. Scheihing
机构
[1] Department of Computer Science,
[2] University of Chile,undefined
[3] Blanco Encalada 2120,undefined
[4] Santiago,undefined
[5] Chile rbaeza@dcc.uchile.cl,undefined
[6] gnavarro@dcc.uchile.cl,undefined
[7] rscheihi@dcc.uchile.cl ,undefined
[8] Department of LSI,undefined
[9] Technical University of Catalunya,undefined
[10] Jordi Girona Salgado 1—3,undefined
[11] 08034 Barcelona,undefined
[12] Spain gavalda@lsi.upc.es,undefined
来源
关键词
Markov Chain; Random Sequence; Exact Result; Short Sequence; Fixed Size;
D O I
暂无
中图分类号
学科分类号
摘要
We present improvements to two techniques to find lower and upper bounds for the expected length of longest common subsequences and forests of two random sequences of the same length, over a fixed size, uniformly distributed alphabet. We emphasize the power of the methods used, which are Markov chains and Kolmogorov complexity. As a corollary, we obtain some new lower and upper bounds for the problems addressed as well as some new exact results for short sequences.
引用
收藏
页码:435 / 452
页数:17
相关论文
共 50 条
  • [1] Bounding the expected length of longest common subsequences and forests
    BaezaYates, RA
    Gavaldà, R
    Navarro, G
    Scheihing, R
    THEORY OF COMPUTING SYSTEMS, 1999, 32 (04) : 435 - 452
  • [2] Bounding the expected length of longest common subsequences and forests
    Department of Computer Science, University of Chile, Blanco Encalada 2120, Santiago, Chile
    不详
    Theory Comput. Syst., 4 (435-452):
  • [3] Common subsequences and supersequences and their expected length
    Dancík, V
    COMBINATORICS PROBABILITY & COMPUTING, 1998, 7 (04): : 365 - 373
  • [4] Common subsequences and supersequences and their expected length
    Dancik, V
    COMBINATORIAL PATTERN MATCHING, 1995, 937 : 55 - 63
  • [5] Large deviations-based upper bounds on the expected relative length of longest common subsequences
    Hauser, Raphael
    Martinez, Servet
    Matzinger, Heinrich
    ADVANCES IN APPLIED PROBABILITY, 2006, 38 (03) : 827 - 852
  • [6] Improved bounds on the average length of longest common subsequences
    Lueker, GS
    PROCEEDINGS OF THE FOURTEENTH ANNUAL ACM-SIAM SYMPOSIUM ON DISCRETE ALGORITHMS, 2003, : 130 - 131
  • [7] Improved Bounds on the Average Length of Longest Common Subsequences
    Lueker, George S.
    JOURNAL OF THE ACM, 2009, 56 (03)
  • [8] A Note on the Expected Length of the Longest Common Subsequences of two i.i.d. Random Permutations
    Houdre, Christian
    Xu, Chen
    ELECTRONIC JOURNAL OF COMBINATORICS, 2018, 25 (02):
  • [9] Computing Longest Lyndon Subsequences and Longest Common Lyndon Subsequences
    Bannai, Hideo
    Tomohiro, I
    Kociumaka, Tomasz
    Koeppl, Dominik
    Puglisi, Simon J.
    ALGORITHMICA, 2024, 86 (03) : 735 - 756
  • [10] Computing Longest Lyndon Subsequences and Longest Common Lyndon Subsequences
    Hideo Bannai
    Tomohiro I.
    Tomasz Kociumaka
    Dominik Köppl
    Simon J. Puglisi
    Algorithmica, 2024, 86 : 735 - 756