Some Recent Results on Squarefree Words
Publications du Département de mathématiques (Lyon) (1985)
- Volume: 2/B, Issue: 2B, page 21-36
- ISSN: 0076-1656
Access Full Article
topHow to cite
topBerstel, Jean. "Some Recent Results on Squarefree Words." Publications du Département de mathématiques (Lyon) 2/B.2B (1985): 21-36. <http://eudml.org/doc/273528>.
@article{Berstel1985,
author = {Berstel, Jean},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {Thue systems; repetitions in words; square-free words},
language = {eng},
number = {2B},
pages = {21-36},
publisher = {Université Claude Bernard - Lyon 1},
title = {Some Recent Results on Squarefree Words},
url = {http://eudml.org/doc/273528},
volume = {2/B},
year = {1985},
}
TY - JOUR
AU - Berstel, Jean
TI - Some Recent Results on Squarefree Words
JO - Publications du Département de mathématiques (Lyon)
PY - 1985
PB - Université Claude Bernard - Lyon 1
VL - 2/B
IS - 2B
SP - 21
EP - 36
LA - eng
KW - Thue systems; repetitions in words; square-free words
UR - http://eudml.org/doc/273528
ER -
References
top- 1 Autebert J. , J. Beauquier, L. Boasson, M. Nivat, Quelques problèmes ouverts en théorie des langages algébriques. RAIRO Informatique théorique13 (1979), 363-379. Zbl0434.68056
- 2 Adjan S., The Burnside problem and identities in groups", Ergeb. Math. Grenzgeb. vol. 95, Springer1979. Zbl0417.20001MR537580
- 3 Apostolico A., F. Preparata, Optimal off-line detection of repetitions in a string, Theor. Comp. Sci.22 (1983), 297-315. Zbl0497.68052MR693062
- 4 Bean D., A. Ehrenfeucht, G. McNulty, Advoidable patterns in strings of symbols, Pacific J. Math.85 (1979), 261-294. Zbl0428.05001MR574919
- 5 Brandeburg F., Uniformly growing K-th power-free homomorphisms, Theor. Comput. Sci.23 (1983), 69-82. Zbl0508.68051MR693069
- 6 Brinkhuis J.Non-repetitive sequences on three symbols, Quart. J. Math. Oxford (2) 34 (1983), 145-149. Zbl0528.05004MR698202
- 7 Brzozowski J., K. Culik II , A. Gabrielian, Classification of noncounting events, J. Comp. Syst. Sci.5 (1971), 41-53. Zbl0241.94050MR286578
- 8 Carpi A., On the size of a square-free morphism on a three letter alphabet, Inf. Proc. Letters16 (1983), 231-236. Zbl0508.68052MR709659
- 9 Cerny A., On generalized words of Thue-Morse, Techn. Report, Université Paris VI, L.I.P.T.83-84. Zbl0638.68090
- 10 Christol C., T. Kamae, M. Mendes-France, G. Rauzy, Suites algébriques automates et substitutions, Bull. Soc. Math. France108 (1980), 401-419. Zbl0472.10035MR614317
- 11 Crochemore M., An optimal algorithm for computing the repetitions in a word, Inf. Proc. Letters, 12 (1981), 244-250. Zbl0467.68075MR632873
- 12 Crochemore M. , Sharp characterizations of squarefree morphisms, Theor. Comp. Sci.18 (1982), 221-226. Zbl0482.68085MR652471
- 13 Crochemore M.Mots et morphismes sans carré, Annals of Discr. Math.17 (1983), 235-245. Zbl0527.20045MR841299
- 14 Crochemore M., Recherche linéaire d'un carré dans un mot, C. R. Acad. Sci.Paris, 296 (1983) , 781-784. Zbl0522.68074MR707557
- 15 Dejean F., Sur un théorème de Thue, J. Combinatorial Theory13 (1972), 90-99. Zbl0245.20052MR300959
- 16 Ehrenfeucht A., D. Haussler, G. Rozenberg, Conditions enforcing regularity of context-free languages, Techn. Report, Boulder University, 1982. Zbl0495.68068MR675456
- 17 Ehrenfeucht A., K. Lee, G. Rozenberg, Subword complexities of various classes of deterministic developmental languages without iteraction, Theor. Comput. Sci.1 (1975), 59-75. Zbl0316.68043MR388861
- 18 Ehrenfeucht A., G. Rozenberg, On the subword complexity of square-free DOL languages, Theor. Comp. Sci.16 (1981), 25-32. Zbl0481.68073MR632668
- 19 Ehrenfeucht A., G. Rozenberg, Repetitions in homomorphisms and languages, 9th ICALP Symposium, SpringerLecture Notes in Computer Science1982192-196. Zbl0502.68020MR675457
- 20 Ehrenfeucht A., G. Rozenberg, On the separating power of EOL systemsRAIRO Informatique17 (1983), 13-22. Zbl0512.68059MR701985
- 21 Gottschalk W., G. Hedlund, "Topological Dynamics", American Math. Soc.Colloq. Pub. Vol. 36, 1955. Zbl0067.15204MR74810
- 22 Goldstine J., Bounded AFLs, J. Comput. Syst. Sci.12 (1976), 399-419. Zbl0331.68043MR405937
- 23 Hall M., Generators and relations in groups - the Burnside problem in : T.L. Saaty (ed.), "Lectures in Modern Mathematics", Vol. II, John Wiley & Sons, 1964 , 42-92. Zbl0123.02002MR178064
- 24 Harju T., Morphisms that avoid overlapping, University of Turku May 1983.
- 25 Hedlund G., Remarks on the work of Axel Thue on sentences, Nord. Mat. Tidskr16 (1967), 148-1. Zbl0153.33101MR228875
- 26 Istrail S., On irreductible languages and non rational numbers, Bull. Mat. Soc. Sci. Mat. R. S. Roumanie21 (1977), 301-308. Zbl0374.68053MR521207
- 27 Karhumaki J., On cube-free -words generated by binary morphisms, Discr. Appl. Math.5 (1983), 279-297. Zbl0505.03022MR690339
- 28 Leconte M., A fine characterization of power-free morphisms, Techn. Report L.I.T.P.1984. Zbl0572.68066
- 29 Li S., Annihilators in non repetitive semi groups, Studies in Appl. Math.55 (1976), 83-85. Zbl0334.05004
- 30 Lothaire M., "Combinatorics on Words", Addison-Wesley1983. Zbl0514.20045MR675953
- 31 Main M., Permutations are not context-free : an application of the "Interchange Lemma", Inf. Proc. Letters15 (1982), 68-71. Zbl0486.68077MR675871
- 32 Main M., R. Lorentz, An algorithm for recognizing repetition, Washington State University, Techn. Report CS-79-056.
- 33 Main M., R. Lorentz, An algorithm for finding all repetitions in a string, J. Algorithms, 1983, to appear. Zbl0547.68083MR756167
- 34 McCreight E.A space-economical suffix tree construction algorithmJ. Assoc. Mach. Comp.23 (1976) 262-272. Zbl0329.68042MR413594
- 35 Minsky S., "Computations : finite and infinite machines", Prentice-Hall1967. Zbl0195.02402MR356580
- 36 Morse M., Recurrent geodesics on a surface of negative curvature, Trans. Amer. Math. Soc.22 (1921), 84-100. Zbl48.0786.06MR1501161JFM48.0786.06
- 37 Morse M., G. Hedlund, Unending chess, symbolic dynamics and a problem in semigroups, Duke Math. J.11 (1944), 1-7. Zbl0063.04115MR9788
- 38 Ogden W., R. Ross, K. Winklmann, Ann "Interchange lemma" for context-free languages, Washington State University, Techn. Report CS-81-080. Zbl0601.68051
- 39 Pansiot J., The Morse sequence and iterated morphisms, Inf. Proc. Letters12 (1981), 68-70. Zbl0464.68075MR613238
- 40 Pansiot J., A propos d'une conjecture de F. Dejean sur les répétitions dans les mots, Discrete Appl. Math. Zbl0536.68072
- 41 Pleasants P., Nonrepetitive sequences, Proc. Cambridge Phil. Soc.68 (1970) 267-274. Zbl0237.05010MR265173
- 42 Restivo A., S. Salemi, On weakly square free words, Inf. Proc. Letters, to appear.
- 43 Reutenauer C., A new characterization of the regular languages, 8th ICALP, SpringerLecture Notes in Computer Science115, 1981, 175-183. Zbl0467.68063MR635134
- 44 Ross R., K. Winklmann, Repetitive strings are not context-free, RAIRO Informatique théorique16 (1982), 191-199. Zbl0489.68071MR686912
- 45 Salomaa A., Morphisms on free monoids and language theory, in : R. Book (ed.) : "Formal language theory : perpectives and open problems", Academic Press1098, 141-166.
- 46 Salomaa A., "Jewels of Formal Language Theory", Pitman1981. Zbl0487.68063MR618124
- 47 Seebold P., Morphismes itérés, mot de Morse et mot de Fibonacci, CR. Acad. Sci.Paris, 295 (1982), 439-441. Zbl0506.20027MR683398
- 48 Seebold P., Sur les morphismes qui engendrent des mots infinis ayant des facteurs prescrits, 6. GI Tagung Theoretische Informatik Lecture Notes Comp. Sci.145, 1983, 301-311. Zbl0495.68078
- 49 Seebold P., Sequences generated by infinitely iterated morphismsTechn. Report Université de Paris VII, L.I.T.P. 83-13. Zbl0583.20047
- 50 Shelton R., Aperiodic words on three symbols, I, II, J. Reine Angew, Math.321 (1981), 195-209, 327 (1981), 1-11. Zbl0441.05007MR597989
- 51 Shelton R., R. Soni, Aperiodic words on three symbols III, J. Reine Angew, Math.330 (1982), 44-52. Zbl0467.05010MR641810
- 52 Shyr J. , A stongly primitive word of arbitrary length ant its applications, Int. J. Comp. Math. A-6 (1970), 165-170. Zbl0405.68066MR464747
- 53 Slisenko A., Determination in real time of all the periodicities in a word, Soviet Math. Dokl.21 (1980), 392-395. Zbl0442.68033MR563176
- 54 Thue A., Uber unendliche Zeichenreihen, Norske Vid. Selsk. Skr. I. Mat. Nat. Kl. Christiania (1906), 1-22. JFM39.0283.01
- 55 Thue A., Uber die gegenseitige Lage gleicher Teile gewisser Zeichenreihen, Norske Vid. Selsk. Skr. I. Mat. Nat. Kl. Christiania (1912), 1-67. JFM44.0462.01
- 56 Weiner P., Linear pattern matching algorithms, Proc. 14 th Symp. switching automata theory, 1973. 1-11. MR441032
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.