Circular words and applications

@inproceedings{Rittaud2011CircularWA,
  title={Circular words and applications},
  author={Beno{\^i}t Rittaud and L. Vivier},
  booktitle={WORDS},
  year={2011}
}
We define the notion of circular words, then consider on such words a constraint derived from the Fibonacci condition. We give several results on the structure of these circular words, then mention possible applications to various situations: periodic expansion of numbers in numeration systems, "gcd-property" of integer sequences, partition of the prefix of the fixed point of the Fibonacci substitution, spanning trees of a wheel. Eventually, we mention some open questions. 
On periodic properties of circular words
Numeration systems for circular words and applications to arithmetics
Representations of Circular Words
Minimization of Graph Weighted Models over Circular Strings
Sur la route des réels

References

SHOWING 1-5 OF 5 REFERENCES
An Introduction to the Theory of Numbers
The sequence: 1 5 16 45 121 320 . . . in combinatorics. Fibonacci Quart
  • The sequence: 1 5 16 45 121 320 . . . in combinatorics. Fibonacci Quart
  • 1975
Alternate Lucas numbers -2. Available at http://oeis
  • Alternate Lucas numbers -2. Available at http://oeis