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Selected combinatorial research problems.June 1972
1972 Technical Report
Publisher:
  • Stanford University
  • 408 Panama Mall, Suite 217
  • Stanford
  • CA
  • United States
Published:01 June 1972
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Abstract

Thirty-seven research problems are described, covering a wide range of combinatorial topics. Unlike Hilbert''s problems, most of these are not especially famous and they might be "do-able" in the next few years. (Problems 1-16 were contributed by Klarner, 17-26 by Chvatal, 27-37 by Knuth. All cash awards are Chvatal''s responsibility.)

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  2. Antoš J and Melichar B Finite automata for generalized approach to backward pattern matching Proceedings of the 15th international conference on Implementation and application of automata, (49-58)
  3. Yang I, Huang C and Chao K (2005). A fast algorithm for computing a longest common increasing subsequence, Information Processing Letters, 93:5, (249-253), Online publication date: 1-Mar-2005.
  4. ACM
    Breimer E, Goldberg M and Lim D (2003). A learning algorithm for the longest common subsequence problem, ACM Journal of Experimental Algorithmics, 8, (2.1-es), Online publication date: 31-Dec-2004.
  5. Chen D, Daescu O, Hu X and Xu J (2003). Finding an optimal path without growing the tree, Journal of Algorithms, 49:1, (13-41), Online publication date: 1-Oct-2003.
  6. Amir A, Aumann Y, Landau G, Lewenstein M and Lewenstein N (2000). Pattern Matching with Swaps, Journal of Algorithms, 37:2, (247-266), Online publication date: 1-Nov-2000.
  7. Mukherjee A (1989). Hardware Algorithms for Determining Similarity Between two Strings, IEEE Transactions on Computers, 38:4, (600-603), Online publication date: 1-Apr-1989.
  8. Hsu W New algorithms for comparing symbol sequences Proceedings of the 1987 Fall Joint Computer Conference on Exploring technology: today and tomorrow, (381-389)
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    Hunt J and Szymanski T (1977). A fast algorithm for computing longest common subsequences, Communications of the ACM, 20:5, (350-353), Online publication date: 1-May-1977.
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    Ullman J, Aho A and Hirschberg D (1976). Bounds on the Complexity of the Longest Common Subsequence Problem, Journal of the ACM, 23:1, (1-12), Online publication date: 1-Jan-1976.
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    Hirschberg D (1975). A linear space algorithm for computing maximal common subsequences, Communications of the ACM, 18:6, (341-343), Online publication date: 1-Jun-1975.
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    Bitner J and Reingold E (1975). Backtrack programming techniques, Communications of the ACM, 18:11, (651-656), Online publication date: 1-Nov-1975.
Contributors
  • University of Montreal
  • Stanford University
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