Browsing by Author "Aberkane, Ali"
Now showing items 1-3 of 3
-
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.