| Avoiding and Enforcing Repetitive Structures in Words Contributor(s): Müller, Mike (Author) |
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ISBN: 3734741971 ISBN-13: 9783734741975 Publisher: Books on Demand OUR PRICE: $24.61 Product Type: Paperback Published: December 2014 |
| Additional Information |
| BISAC Categories: - Computers | Programming Languages - General |
| Physical Information: 0.37" H x 5.83" W x 8.27" (0.47 lbs) 172 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Avoiding and enforcing repetitions in words are central topics in the area of combinatorics on words, with first results going back to the beginning of the 20th century. The results presented in this thesis extend and enrich the existing theory concerning the presence and absence of repetitive structures in words. In the first part the question whether such structures necessarily appear in infinite words over a finite alphabet is investigated. In particular, avoidability questions of patterns whose repetitive structure is disguised by the application of a permutation are studied. The second part deals with equations on words that enforce a certain repetitive structure involving involutions in their solution set. A generalisation of the classical equations u l = v mw n that were studied by Lyndon and Sch tzenberger is analysed. The last part considers the influence of the shuffle operation on square-free words and related avoidability questions. |