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Even kernels.

Fraenkel, Aviezri (1994)

The Electronic Journal of Combinatorics [electronic only]

Existence of an infinite ternary 64-abelian square-free word

Mari Huova (2014)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We consider a recently defined notion of k-abelian equivalence of words by concentrating on avoidance problems. The equivalence class of a word depends on the numbers of occurrences of different factors of length k for a fixed natural number k and the prefix of the word. We have shown earlier that over a ternary alphabet k-abelian squares cannot be avoided in pure morphic words for any natural number k. Nevertheless, computational experiments support the conjecture that even 3-abelian squares can...

Exploiting the structure of conflict graphs in high level synthesis

Klaus Jansen (1994)

Commentationes Mathematicae Universitatis Carolinae

In this paper we analyze the computational complexity of a processor optimization problem. Given operations with interval times in a branching flow graph, the problem is to find an assignment of the operations to a minimum number of processors. We analyze the complexity of this assignment problem for flow graphs with a constant number of program traces and a constant number of processors.

Extended Ramsey theory for words representing rationals

Vassiliki Farmaki, Andreas Koutsogiannis (2013)

Fundamenta Mathematicae

Ramsey theory for words over a finite alphabet was unified in the work of Carlson, who also presented a method to extend the theory to words over an infinite alphabet, but subject to a fixed dominating principle. In the present work we establish an extension of Carlson's approach to countable ordinals and Schreier-type families developing an extended Ramsey theory for dominated words over a doubly infinite alphabet (in fact for ω-ℤ*-located words), and we apply this theory, exploiting the Budak-Işik-Pym...

Factor frequencies in generalized Thue-Morse words

Ľubomíra Balková (2012)

Kybernetika

We describe factor frequencies of the generalized Thue-Morse word 𝐭 b , m defined for b 2 , m 1 , b , m , as the fixed point starting in 0 of the morphism ϕ b , m ( k ) = k ( k + 1 ) ( k + b - 1 ) , where k { 0 , 1 , , m - 1 } and where the letters are expressed modulo m . We...

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