International audienceThe repetition threshold is the smallest real number $\alpha$ such that there exists an infinite word over a $k$-letter alphabet that avoids repetition of exponent strictly greater than $\alpha$. This notion can be generalized to graph classes. In this paper, we completely determine the repetition thresholds for caterpillars and caterpillars of maximum degree $3$. Additionally, we present bounds for the repetition thresholds of trees with bounded maximum degrees
In this note, we consider the trees (caterpillars) that minimize the number of subtrees among trees ...
The notion of repetition threshold, which is the object of Dejean's conjecture (1972), was generaliz...
International audienceIt is commonly admitted that the origin of combinatorics on words goes back to...
The repetition threshold introduced by Dejean and Brandenburg is the smallest real number α such tha...
The repetition threshold introduced by Dejean and Brandenburg is the smallest real number α such tha...
Abstract. The repetition threshold introduced by Dejean and Bran-denburg is the smallest real number...
AbstractBrandenburg and (implicitly) Dejean introduced the concept of repetition threshold: the smal...
International audienceThe exponent of a word is the ratio of its length over its smallest period. Th...
The repetition threshold is a measure of the extent to which there need to be consecutive (partial) ...
A caterpillar, H, is a tree containing a path, P, such that every vertex of H is either in P or adja...
The repetition threshold for words on n letters, denoted RT(n), is the infimum of the set of all r s...
Article dans revue scientifique avec comité de lecture.A repetition in a word is a subword with the ...
We investigate the finite repetition threshold for k-letter alphabets, k ≥ 4, that is the smallest n...
We find the threshold between avoidable and unavoidable repetitions in circular words over k letters...
AbstractThe notion of the repetition threshold, which is the object of Dejean’s conjecture (1972), w...
In this note, we consider the trees (caterpillars) that minimize the number of subtrees among trees ...
The notion of repetition threshold, which is the object of Dejean's conjecture (1972), was generaliz...
International audienceIt is commonly admitted that the origin of combinatorics on words goes back to...
The repetition threshold introduced by Dejean and Brandenburg is the smallest real number α such tha...
The repetition threshold introduced by Dejean and Brandenburg is the smallest real number α such tha...
Abstract. The repetition threshold introduced by Dejean and Bran-denburg is the smallest real number...
AbstractBrandenburg and (implicitly) Dejean introduced the concept of repetition threshold: the smal...
International audienceThe exponent of a word is the ratio of its length over its smallest period. Th...
The repetition threshold is a measure of the extent to which there need to be consecutive (partial) ...
A caterpillar, H, is a tree containing a path, P, such that every vertex of H is either in P or adja...
The repetition threshold for words on n letters, denoted RT(n), is the infimum of the set of all r s...
Article dans revue scientifique avec comité de lecture.A repetition in a word is a subword with the ...
We investigate the finite repetition threshold for k-letter alphabets, k ≥ 4, that is the smallest n...
We find the threshold between avoidable and unavoidable repetitions in circular words over k letters...
AbstractThe notion of the repetition threshold, which is the object of Dejean’s conjecture (1972), w...
In this note, we consider the trees (caterpillars) that minimize the number of subtrees among trees ...
The notion of repetition threshold, which is the object of Dejean's conjecture (1972), was generaliz...
International audienceIt is commonly admitted that the origin of combinatorics on words goes back to...