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math.CO2015
Avoiding two consecutive blocks of same size and same sum over
Michaël Rao, Matthieu Rosenfeld
A long standing question asks whether is uniformly 2-repetitive [Justin 1972, Pirillo and Varricchio, 1994], that is, whether there is an infinite sequence over a fini…
cs.DM2015
Avoidability of long -abelian repetitions
Michaël Rao, Matthieu Rosenfeld
We study the avoidability of long -abelian-squares and -abelian-cubes on binary and ternary alphabets. For , these are Mäkelä's questions. We show that one cannot avoid…