Critical exponents of infinite balanced words
| dc.contributor.author | Rampersad, Narad | |
| dc.contributor.author | Shallit, Jeffrey | |
| dc.contributor.author | Vandomme, Élise | |
| dc.date.accessioned | 2020-03-18T16:57:59Z | |
| dc.date.available | 2020-03-18T16:57:59Z | |
| dc.date.issued | 2019-07-19 | |
| dc.description | The final publication is available at Elsevier via https://doi.org/10.1016/j.tcs.2018.10.017. © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ | en |
| dc.description.abstract | Over an alphabet of size 3 we construct an infinite balanced word with critical exponent 2 + root2/2. Over an alphabet of size 4 we construct an infinite balanced word with critical exponent (5 + root5)/4. Over larger alphabets, we give some candidates for balanced words (found computationally) having small critical exponents. We also explore a method for proving these results using the automated theorem prover Walnut. | en |
| dc.identifier.uri | https://doi.org/10.1016/j.tcs.2018.10.017 | |
| dc.identifier.uri | http://hdl.handle.net/10012/15702 | |
| dc.language.iso | en | en |
| dc.publisher | Elsevier | en |
| dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.subject | infinite word | en |
| dc.subject | balanced word | en |
| dc.subject | Sturmian word | en |
| dc.subject | critical exponent | en |
| dc.title | Critical exponents of infinite balanced words | en |
| dc.type | Article | en |
| dcterms.bibliographicCitation | N. Rampersad et al., Critical exponents of infinite balanced words, Theoret. Comput. Sci. (2018), https://doi.org/10.1016/j.tcs.2018.10.017 | en |
| uws.contributor.affiliation1 | Faculty of Mathematics | en |
| uws.contributor.affiliation2 | David R. Cheriton School of Computer Science | en |
| uws.peerReviewStatus | Reviewed | en |
| uws.scholarLevel | Faculty | en |
| uws.typeOfResource | Text | en |
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