By Michael R. Fellows (auth.), Susanne Albers, Tomasz Radzik (eds.)

ISBN-10: 3540230254

ISBN-13: 9783540230250

ISBN-10: 3540301402

ISBN-13: 9783540301400

This e-book constitutes the refereed lawsuits 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 conscientiously reviewed from 208 submissions. The scope of the papers spans the total diversity of algorithmics from layout and mathematical concerns to real-world purposes in a variety of fields, and engineering and research of algorithms.

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Additional info for Algorithms – ESA 2004: 12th Annual European Symposium, Bergen, Norway, September 14-17, 2004. Proceedings

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2 Designing Line Systems with Specified Routing First we would like to point out that if line systems are given, it is easy to find the optimal route between any two nodes. The optimal route between any two nodes is the one that goes through as few line systems as possible and thus results in as few transparent sections as possible. We can find this route by calculating the shortest path according to an appropriate distance function. If instead we are given the demand routes, and our goal is to find the optimal set of proper line systems, the problem becomes NP-hard.

Does not. According to lemma 1 there is a swap-match. 3. If the two condition hold then either one of the two segments A and B is entirely contained in the other or the overlap is a real substring of both segments. For the first case we may assume, without loss of generality, that segment B of the pattern is contained in segment A of the text (the other case is treated in a similar fashion). The situation is that there is a misalignment and the overlap length is odd. Schematically, we have (with B and A boldfaced): Swap and Mismatch Edit Distance 21 Pattern: · · ·aabab · · · ·abaa · ·· Text: · · ·ababa · · · ·baba · ·· Since swapping B s edges will not help, the only swaps possible are internal to B.

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. We consider the following problem. Definition 3. The swap mismatch edit distance problem is the following.

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Algorithms – ESA 2004: 12th Annual European Symposium, Bergen, Norway, September 14-17, 2004. Proceedings by Michael R. Fellows (auth.), Susanne Albers, Tomasz Radzik (eds.)

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