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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018 Number 3, Pages 16–21 (Mi vmumm28)

Mathematics

Complexity of search of a substring entering in a set of strings

E. M. Perper

Kraftway Corporation PLC, Moscow

Abstract: The paper considers the problem of listing all occurrences of an arbitrary pattern in the strings from given set. We obtain lower bound for amount of time taken by search algorithms. We also obtain the order of memory volumes required by algorithms with the best order search time.

Key words: pattern, text, occurrence, string matching, lower bound, higher bound.

UDC: 519.712

Received: 27.09.2017


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2018, 73:3, 98–102

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© Steklov Math. Inst. of RAS, 2026