Combinatorial Algorithms on Words [Softcover reprint of the original 1st ed. 1985] 3642824587, 9783642824586, 9783642824562, 3642824560

Combinatorial Algorithms on Words refers to the collection of manipulations of strings of symbols (words) - not necessar

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English Pages 363 [354] Year 1985

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Combinatorial Algorithms on Words [Softcover reprint of the original 1st ed. 1985]
3642824587, 9783642824586, 9783642824562, 3642824560

Author / Uploaded
Alberto Apostolico
Zvi Galil (eds.)

Table of contents :
Front Matter....Pages I-VIII
Open Problems in Stringology....Pages 1-8
Front Matter....Pages 9-9
Efficient String Matching with Don’t-Care Patterns....Pages 11-29
Optimal Factor Transducers....Pages 31-43
Relating the Average-Case Costs of the Brute-Force and Knuth-Morris-Pratt String Matching Algorithm....Pages 45-58
Algorithms for Factorizing and Testing Subsemigroups....Pages 59-81
Front Matter....Pages 83-83
The Myriad Virtues of Subword Trees....Pages 85-96
Efficient and Elegant Subword-Tree Construction....Pages 97-107
Front Matter....Pages 109-109
Textual Substitution Techniques for Data Compression....Pages 111-129
Variations on a theme by Ziv and Lempel....Pages 131-140
Compression of Two-Dimensional Images....Pages 141-154
Optimal Parsing of Strings....Pages 155-167
Novel Compression of Sparse Bit-Strings — Preliminary Report....Pages 169-183
Front Matter....Pages 185-185
The Use and Usefulness of Numeration Systems....Pages 187-203
Enumeration of Strings....Pages 205-228
Two counting problems solved via string encodings....Pages 229-240
Some Uses of the Mellin Integral Transform in the Analysis of Algorithms....Pages 241-254
Front Matter....Pages 255-255
Periodicities in Strings....Pages 257-269
Linear Time Recognition of Squarefree Strings....Pages 271-278
Discovering Repetitions in Strings....Pages 279-288
Some Decision Results on Nonrepetitive Words....Pages 289-295
Front Matter....Pages 297-297
On the Complexity of Some Word Problems That Arise in Testing the Security of Protocols....Pages 299-314
Code Properties and Derivatives of DOL Systems....Pages 315-327
Words over a Partially Commutative Alphabet....Pages 329-340
The Complexity of Two-Way Pushdown Automata and Recursive Programs....Pages 341-356
Context-Free Grammars and Random Number Generation....Pages 357-361
Back Matter....Pages 363-363

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