Abstract
In molecular biology, it is said that two biological sequences tend to have similar properties if they have similar 3-D structures. Hence, it is very important to find not only similar sequences in the string sense, but also structurally similar sequences from databases. In this paper, we propose a new data structure that is a generalization of a parameterized suffix tree (p-suffix tree for short) introduced by Baker. This data structure can be used for finding structurally related patterns of RNA or single-stranded DNA. Furthermore, we propose an O(n(log |σ|+log |Π|)) on-line algorithm for constructing it, where n is the sequence length, |σ| is the size of the normal alphabet, and |Π| is that of the alphabet called “parameter,” which is related to the structure of the sequence. Our algorithm achieves a linear time when it is used to analyze RNA and DNA sequences. Furthermore, as an algorithm for constructing the p-suffix tree, it is the first on-line algorithm, though the computing bound of our algorithm is same as that of Kosaraju’s best-known algorithm. The results of computational experiments using actual RNA and DNA sequences are also given to demonstrate our algorithm’s practicality.
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Shibuya, T. (2000). Generalization of a Suffix Tree for RNA Structural Pattern Matching. In: Algorithm Theory - SWAT 2000. SWAT 2000. Lecture Notes in Computer Science, vol 1851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44985-X_34
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DOI: https://doi.org/10.1007/3-540-44985-X_34
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