Browsing by Author "Aberkane, Ali"
Now showing items 1-3 of 3
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Attainable lengths for circular binary words avoiding k-powers
Currie, James D.;Aberkane, Ali (The Belgian Mathematical Society,2005)We show that binary circular words of length n avoiding 7/3+ powers exist for every sufficiently large n. This is not the case for binary circular words avoiding k+ powers with k < 7/3 -
The Number of Ternary Words Avoiding Abelian Cubes Grows Exponentially
Currie, James;Rampersad, Narad;Aberkane, Ali (2004-06-19)We show that the number of ternary words of length n avoiding abelian cubes grows faster than r^n, where r = 2^{1/24} -
There Exist Binary Circular 5/2+ Power Free Words of Every Length
Aberkane, Ali;Currie, James D. (The Electronic Journal of Combinatorics,2004-01-23)We show that there exist binary circular 5/2+ power free words of every length.