New PDF release: Combinatorial Pattern Matching: 20th Annual Symposium, CPM

By Elena Yavorska Harris, Thierry Lecroq, Gregory Kucherov (auth.), Gregory Kucherov, Esko Ukkonen (eds.)

ISBN-10: 3642024408

ISBN-13: 9783642024405

This ebook constitutes the refereed complaints of the 20 th Annual Symposium on Combinatorial development Matching, CPM 2009, held in Lille, France in June 2009.

The 27 revised complete papers offered including three invited talks have been rigorously reviewed and chosen from sixty three submissions. The papers tackle all components with regards to combinatorial development matching and its functions, reminiscent of coding and knowledge compression, computational biology, info mining, details retrieval, traditional language processing, development acceptance, string algorithms, string processing in databases, symbolic computing and textual content searching.

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Additional info for Combinatorial Pattern Matching: 20th Annual Symposium, CPM 2009 Lille, France, June 22-24, 2009 Proceedings

Example text

In our algorithm we inherently propose a method for finding the bounded longest common prefix of substrings, which may be of independent interest. In addition, we propose an efficient algorithm for substring compression which makes use of range searching for minimum queries. We present several tradeoffs for both problems. For compressing the substring S[i . j] (possibly with the substring S[α . β] as a context), best for substring comquery times we achieve are O(C) and O C log j−i C pression query and generalized substring compression query, respectively, where C is the number of phrases encoded.

Given a trie, let us say that the label of a path from the root to a node u is the string given by the sequence X of characters that occur on edges of the path. This is the path label of u. Because of the second property, the path label uniquely identifies u. We therefore adopt the convention of treating the node and its path label as interchangeable objects. For example, we may consider whether a string X is a node of the trie, or whether one node is a substring of another. Note that one node is a prefix of another if and only if it is an ancestor in the trie.

Again, preprocessing time and space used are dominated by the preprocessing time and space used by the range searching structure. For the query time, since a single range searching for minimum/maxiumum query can now be answered in O(log n) time, the overall query time is now worst-case O(C(i, j) log n). 7 General Substring Compression Query For GSCQ, in addition to the two locations i and j, which denote the substring S[i . j] to be compressed, we receive two more indices α and β, which induce a context substring S[α .

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Combinatorial Pattern Matching: 20th Annual Symposium, CPM 2009 Lille, France, June 22-24, 2009 Proceedings by Elena Yavorska Harris, Thierry Lecroq, Gregory Kucherov (auth.), Gregory Kucherov, Esko Ukkonen (eds.)


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