| Issue |
RAIRO-Theor. Inf. Appl.
Volume 50, Number 2, April-June 2016
|
|
|---|---|---|
| Page(s) | 167 - 170 | |
| DOI | https://doi.org/10.1051/ita/2016019 | |
| Published online | 26 October 2016 | |
Note on occurrences of factors in circular words
Institute of mathematics, CNRS UPR
9016, Marseille,
France.
arnoux@iml.univ-mrs.fr
Received:
12
June
2016
Accepted:
5
September
2016
We give an elementary proof of a property discovered by Xavier Grandsart: let W be a circular binary word; then the differences in the number of occurrences |W|0011 − |W|1100, |W|1101 − |W|1011 , |W|1010 − |W|0101 and |W|0100 − |W|0010 are equal; this property is easily generalized using the De Bruijn graph.
Mathematics Subject Classification: 68R15
Key words: Circular words / factors / De Bruijn graphs
© EDP Sciences 2016
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