NDLI: Symbolic analysis of finite words: the complexity function

Content Provider	Springer Nature Link
Author	Jaeger, Sébastien Lima, Ricardo Mossé, Brigitte
Copyright Year	2003
Abstract	We present several properties of the complexity function of finite words, the function counting the number of different factors in a word, for each length. To establish a first set of properties, we use the de Bruijn graphs and the suffix tree representations of a word. This allows us to show some inequalities that control the variation as well as the maximal value of the complexity function. Motivated by the applications, we discuss the change of the complexity function when sliding or increasing the size of a window laid down on a sequence to be analysed.
Starting Page	457
Ending Page	477
Page Count	21
File Format	PDF
ISSN	16787544
Journal	Bulletin of the Brazilian Mathematical Society
Volume Number	34
Issue Number	3
e-ISSN	16787714
Language	English
Publisher	Springer-Verlag
Publisher Date	2003-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	complexity symbolic analysis finite words
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Symbolic analysis of finite words: the complexity function