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

This ebook constitutes the refereed lawsuits of the twentieth Annual Symposium on Combinatorial trend Matching, CPM 2009, held in Lille, France in June 2009.

The 27 revised complete papers provided including three invited talks have been rigorously reviewed and chosen from sixty three submissions. The papers handle all parts regarding combinatorial development matching and its functions, reminiscent of coding and information compression, computational biology, facts mining, info retrieval, ordinary language processing, development attractiveness, string algorithms, string processing in databases, symbolic computing and textual content searching.

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

Example text

For short) holds on the APT parsing. p. holds then by the APT parsing definition and Corollary 1, we have c(n) = O(n/ log n). Therefore, the number of N BH nodes is also O(n/ log n). Assume to the contrary that there are also Ω(d(n) · n/ log n) N B nodes, where d(n) is any function of n growing to infinity. The N B nodes must all be on paths of N B nodes starting with N BH nodes. Therefore, the number of such paths is bounded by the number of N BH nodes, which is O(n/ log n). Thus, the average path length is Ω(d(n)).

Keller et al. since v is the node uk,r (t ) for each such suffix St , there might be an additional eligible portion of those suffixes on the edge (v, w) (figuratively speaking; we mean of course that the additional eligible portion is a prefix of the substring represented by the label of (v, w)). Furthermore, this additional portion may be of a different length for each relevant suffix which is eligible at v. e. leftmost) start location of the above, as its additional eligible portion on (v, w) will be the longest.

A suffix St is said to be relevant to a range [l, r] if l ≤ t ≤ r. Before showing how to implement BLCP queries, we define the notion of eligibility, which forces us to define the contribution given by a specific relevant suffix properly, and is depicted in the following definition: Definition 2. t. r) at node u of the suffix tree if: 1. u is on the path from the root to 2. t + length(u) − 1 ≤ r. t (Equivalently, t is a leaf in Tu ) Generalized Substring Compression 31 In other words, we do not want to consider any portion of the suffix St which exceeds the position r, as such a portion is irrelevant to us.

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Combinatorial Pattern Matching: 20th Annual Symposium, CPM by Elena Yavorska Harris, Thierry Lecroq, Gregory Kucherov
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