By Takuya Kida, Masayuki Takeda, Ayumi Shinohara (auth.), Maxime Crochemore, Mike Paterson (eds.)

ISBN-10: 3540484523

ISBN-13: 9783540484523

ISBN-10: 3540662782

ISBN-13: 9783540662785

This publication constitutes the refereed lawsuits of the tenth Annual Symposium on Combinatorial trend Matching, CPM ninety nine, held in Warwick, united kingdom in July 1999. The 21 revised papers awarded have been rigorously reviewed and chosen from 26 submissions. The papers deal with all present matters in combinatorial trend matching facing a number of classical gadgets like bushes, common expressions, graphs, element units, and arrays in addition to with DNA/RNA coding, WWW matters, details retrieval, facts compression, and trend popularity.

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Extra info for Combinatorial Pattern Matching: 10th Annual Symposium, CPM 99 Warwick University, UK, July 22–24, 1999 Proceedings

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Hence, we measure the cost of searching it without decompressing versus the cost of decompressing it and then searching. Clearly the last task can be done using an intermediate buffer in main memory, and therefore the I/O is the same in both cases. Figure 7 compares the marked and unmarked versions of LZ78 and the Hybrid compressor. As it can be seen, there is no advantage in practice by the use of marking. Therefore, we do not further consider the marked versions. Another conclusion we take from the figure is that the searcher for Hybrid compression is slightly faster than for LZ78 on English but slower for DNA.

In the case of the LZW compression such mechanism can be realized in O(m2 +n) time using O(m2 +n) space as stated in [4] and [17]. Similar idea can also be applied to the case of text compression by antidictionaries, except that block ui , which will be an input to the second arguments of δKMP and λKMP , is represented in a different manner. In our case a block ui is represented as a pair of the current state q of G(M ) and the first symbol bi of ui . Therefore we have to keep the state transitions of G(M ).

The compression can still be performed in O(u) time by using a sparse suffix tree [16] where only the block beginnings are inserted and when we fall out of the trie we take the last node visited which corresponds to a block ending. Decompression is slower than for LZ77, since we need to keep track of the blocks already seen to be able to retrieve the appropriate text. Finally, the compression ratio is in principle worse than for LZ77 since we are limited in the text segments that we can use. On the other hand, the numbers to code are smaller since we code block positions in O(log n) bits instead of text positions in O(log u) bits.

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Combinatorial Pattern Matching: 10th Annual Symposium, CPM 99 Warwick University, UK, July 22–24, 1999 Proceedings by Takuya Kida, Masayuki Takeda, Ayumi Shinohara (auth.), Maxime Crochemore, Mike Paterson (eds.)


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