Boyer-Moore algorithm

http://www-igm.univ-mlv.fr/~lecroq/string/node14.html

Main features

• performs the comparisons from right to left;
• preprocessing phase in O(m+) time and space complexity;
• searching phase in O(mn) time complexity;
• 3n text character comparisons in the worst case when searching for a non periodic pattern;
• O(n / m) best performance.

References

• AHO, A.V., 1990, Algorithms for finding patterns in strings. in Handbook of Theoretical Computer Science, Volume A, Algorithms and complexity, J. van Leeuwen ed., Chapter 5, pp 255-300, Elsevier, Amsterdam.
• AOE, J.-I., 1994, Computer algorithms: string pattern matching strategies, IEEE Computer Society Press.
• BAASE, S., VAN GELDER, A., 1999, Computer Algorithms: Introduction to Design and Analysis, 3rd Edition, Chapter 11, pp. ??-??, Addison-Wesley Publishing Company.
• BAEZA-YATES R., NAVARRO G., RIBEIRO-NETO B., 1999, Indexing and Searching, in Modern Information Retrieval, Chapter 8, pp 191-228, Addison-Wesley.
• BEAUQUIER, D., BERSTEL, J., CHRÉTIENNE, P., 1992, Éléments d'algorithmique, Chapter 10, pp 337-377, Masson, Paris.
• BOYER R.S., MOORE J.S., 1977, A fast string searching algorithm. Communications of the ACM. 20:762-772.
• COLE, R., 1994, Tight bounds on the complexity of the Boyer-Moore pattern matching algorithm, SIAM Journal on Computing 23(5):1075-1091.
• CORMEN, T.H., LEISERSON, C.E., RIVEST, R.L., 1990. Introduction to Algorithms, Chapter 34, pp 853-885, MIT Press.
• CROCHEMORE, M., 1997. Off-line serial exact string searching, in Pattern Matching Algorithms, ed. A. Apostolico and Z. Galil, Chapter 1, pp 1-53, Oxford University Press.
• CROCHEMORE, M., HANCART, C., 1999, Pattern Matching in Strings, in Algorithms and Theory of Computation Handbook, M.J. Atallah ed., Chapter 11, pp 11-1--11-28, CRC Press Inc., Boca Raton, FL.
• CROCHEMORE, M., LECROQ, T., 1996, Pattern matching and text compression algorithms, in CRC Computer Science and Engineering Handbook, A. Tucker ed., Chapter 8, pp 162-202, CRC Press Inc., Boca Raton, FL.
• CROCHEMORE, M., RYTTER, W., 1994, Text Algorithms, Oxford University Press.
• GONNET, G.H., BAEZA-YATES, R.A., 1991. Handbook of Algorithms and Data Structures in Pascal and C, 2nd Edition, Chapter 7, pp. 251-288, Addison-Wesley Publishing Company.
• GOODRICH, M.T., TAMASSIA, R., 1998, Data Structures and Algorithms in JAVA, Chapter 11, pp 441-467, John Wiley & Sons.
• GUSFIELD, D., 1997, Algorithms on strings, trees, and sequences: Computer Science and Computational Biology, Cambridge University Press.
• HANCART, C., 1993. Analyse exacte et en moyenne d'algorithmes de recherche d'un motif dans un texte, Ph. D. Thesis, University Paris 7, France.
• KNUTH, D.E., MORRIS (Jr) J.H., PRATT, V.R., 1977, Fast pattern matching in strings, SIAM Journal on Computing 6(1):323-350.
• LECROQ, T., 1992, Recherches de mot, Ph. D. Thesis, University of Orléans, France.
• LECROQ, T., 1995, Experimental results on string matching algorithms, Software - Practice & Experience 25(7):727-765.
• SEDGEWICK, R., 1988, Algorithms, Chapter 19, pp. 277-292, Addison-Wesley Publishing Company.
• SEDGEWICK, R., 1988, Algorithms in C, Chapter 19, Addison-Wesley Publishing Company.
• STEPHEN, G.A., 1994, String Searching Algorithms, World Scientific.
• WATSON, B.W., 1995, Taxonomies and Toolkits of Regular Language Algorithms, Ph. D. Thesis, Eindhoven University of Technology, The Netherlands.
• WIRTH, N., 1986, Algorithms & Data Structures, Chapter 1, pp. 17-72, Prentice-Hall.

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