On the exact complexity of string matching
Livio Colussi, Zvi Galil, Raffaele Giancarlo · 2002
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>