Title
A connection between palindromic and factor complexity using return words
Abstract
In this paper we prove that for any infinite word w whose set of factors is closed under reversal, the following conditions are equivalent:(I)all complete returns to palindromes are palindromes; (II)P(n)+P(n+1)=C(n+1)-C(n)+2 for all n, where P (resp. C) denotes the palindromic complexity (resp. factor complexity) function of w, which counts the number of distinct palindromic factors (resp. factors) of each length in w.
Year
DOI
Venue
2008
10.1016/j.aam.2008.03.005
Clinical Orthopaedics and Related Research
Keywords
Field
DocType
palindromic complexity,rauzy graph,following condition,complete return,distinct palindromic factor,factor complexity,rich word.,palindrome,return word,infinite word w,discrete mathematics
Discrete mathematics,Combinatorics,Palindromic number,Palindrome,Mathematics
Journal
Volume
Issue
ISSN
42
1
Advances In Applied Mathematics 42 (2009) 60--74
Citations 
PageRank 
References 
26
1.65
13
Authors
4
Name
Order
Citations
PageRank
Michelangelo Bucci110510.62
Alessandro De Luca2422.92
Amy Glen31219.48
Luca Q. Zamboni425327.58