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Título: Average complexity of exact and approximate multiple string matching
Autores: Navarro, Gonzalo
Fredriksson, Kimmo
Fecha: 2007-04-18
2007-04-18
2004-08-16
Publicador: ELSEVIER
Fuente: Ver documento
Tipo: Artículo de Revista
Tema: lower bounds
Yao's bound
Descripción: We show that the average number of characters examined to search for r random patterns of length m in a text of length n over a uniformly distributed alphabet of size a cannot be less than Omega(n log(sigma)(rm)/m). When we permit up to k insertions, deletions, and/or substitutions of characters in the occurrences of the patterns, the lower bound becomes Omega(n(k + log(sigma)(rm))/m). This generalizes previous single-pattern lower bounds of Yao (for exact matching) and of Chang and Marr (for approximate matching), and proves the optimality of several existing multipattern search algorithms.
Idioma: Inglés
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