By Michael R. Fellows (auth.), Susanne Albers, Tomasz Radzik (eds.)
This booklet constitutes the refereed court cases of the twelfth Annual ecu Symposium on Algorithms, ESA 2004, held in Bergen, Norway, in September 2004.
The 70 revised complete papers awarded have been rigorously reviewed from 208 submissions. The scope of the papers spans the full variety of algorithmics from layout and mathematical matters to real-world purposes in a variety of fields, and engineering and research of algorithms.
Read or Download Algorithms – ESA 2004: 12th Annual European Symposium, Bergen, Norway, September 14-17, 2004. Proceedings PDF
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Extra info for Algorithms – ESA 2004: 12th Annual European Symposium, Bergen, Norway, September 14-17, 2004. Proceedings
16–27, 2004. c Springer-Verlag Berlin Heidelberg 2004 Swap and Mismatch Edit Distance 17 function is deﬁned on the text. A text location is considered a match if the distance between it and the pattern, under the given distance function, is within the tolerated bounds. Below are some examples that motivate approximate matching. In computational biology one may be interested in ﬁnding a “close” mutation, in communications one may want to adjust for transmission noise, in texts it may be desirable to allow common typing errors.
Sn , DELi (s1 . . sn ) = s1 . . si−1 , si+1 . . sn , REPi,σ (s1 . . sn ) = s1 . . si−1 , σsi+1 . . sn , and SW APi (s1 . . sn ) = s1 . . si−1 , si+1 , si , si + 2 . . sn . Deﬁnition 2. Let T = t1 . . tn be a text string, and P = p1 . . pm be a pattern string over alphabet Σ. , n, the minimum edit distance of P and a preﬁx of ti . . tn . Lowrance and Wagner [12,13] give an O(nm) algorithm for computing the edit distance problem with the above four edit operations. To date, no better algorithm is known for the general case.
Total Time: √ m T ime ≤ √ m n Ki log m = n i=2 √ m n Ki ≤ n log m i=2 √ m log m √ m Ki i i=2 i=2 1 ≤ n i √ logm m log m Ki i i=2 1 ≤ i √ log m = n m log m. References 1. K. Abrahamson. Generalized string matching. SIAM J. , 16(6):1039-1051, 1987. 2. A. Amir, R. Cole, R. Hariharan, M. Lewenstein, and E. Porat. Overlay matching. Information and Computation, 181(1):57-74, 2003. 3. A. Amir, M. Lewenstein, and E. Porat. Faster algorithms for string matching with k mismatches. In Proc. 11th ACM-SIAM Symposium on Discrete Algorithms (SODA), pages 794-803, 2000.
Algorithms – ESA 2004: 12th Annual European Symposium, Bergen, Norway, September 14-17, 2004. Proceedings by Michael R. Fellows (auth.), Susanne Albers, Tomasz Radzik (eds.)