字符串匹配的精确复杂度

L. Colussi, Z. Galil, R. Giancarlo
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引用次数: 46

摘要

在给定长度为n的文本字符串和长度为m的模式字符串的情况下,研究了线性时间字符串匹配算法进行字符比较的最大次数。这个数字用c(n,m)表示,或者近似用(1+ c)n表示,其中c是一个普适常数。当注意仅限于在线算法时,添加下标“online”,当考虑在文本中只发现一次模式出现的算法时,添加上标“1”。众所周知,n>
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On the exact complexity of string matching
The maximal number of character comparisons made by a linear-time string matching algorithm, given a text string of length n and a pattern string of length m over a general alphabet, is investigated. The number is denoted by c(n,m) or approximated by (1+C)n, where C is a universal constant. The subscript 'online' is added when attention is restricted to online algorithms, and the superscript '1' is added when algorithms that find only one occurrence of the pattern in the text are considered. It is well known that n>
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