Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-nmvwc Total loading time: 0 Render date: 2024-07-04T06:54:35.665Z Has data issue: false hasContentIssue false

5 - Regularities inWords

Published online by Cambridge University Press:  10 June 2021

Maxime Crochemore
Affiliation:
Université Paris-Est
Thierry Lecroq
Affiliation:
University of Rouen Normandy
Wojciech Rytter
Affiliation:
Warsaw University
Get access

Summary

The chapter is concerned with regularities that occur in texts, in particular repetitions and symmetries. They have a strong influence on the efficiency of algorithms. The central topic is the notion of repetition of factors: squares, cubes, maximal periodicities or runs, and overlaps. Problems deal with discovering or counting of repetitions. The related algorithms are usually short but tricky. Especially problems about runs are non-trivial but show the unexpected power of combinatorics of Lyndon words. Repetitions in labeled trees are also considered. Besides repetitions some problems deal with symmetrical words (palindromes) and anti-power words.

Type
Chapter
Information
125 Problems in Text Algorithms
with Solutions
, pp. 180 - 229
Publisher: Cambridge University Press
Print publication year: 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×