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The Uniform Minimum-Ones 2SAT Problem and its Application to Haplotype Classification

Hans-Joachim Böckenhauer, Michal Forišek, Ján Oravec, Björn Steffen, Kathleen Steinhöfel, Monika Steinová (2010)

RAIRO - Theoretical Informatics and Applications

Analyzing genomic data for finding those gene variations which are responsible for hereditary diseases is one of the great challenges in modern bioinformatics. In many living beings (including the human), every gene is present in two copies, inherited from the two parents, the so-called haplotypes. In this paper, we propose a simple combinatorial model for classifying the set of haplotypes in a population according to their responsibility for a certain genetic disease. This model is based...

Three complexity functions

Sébastien Ferenczi, Pascal Hubert (2012)

RAIRO - Theoretical Informatics and Applications

For an extensive range of infinite words, and the associated symbolic dynamical systems, we compute, together with the usual language complexity function counting the finite words, the minimal and maximal complexity functions we get by replacing finite words by finite patterns, or words with holes.

Three complexity functions

Sébastien Ferenczi, Pascal Hubert (2012)

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

For an extensive range of infinite words, and the associated symbolic dynamical systems, we compute, together with the usual language complexity function counting the finite words, the minimal and maximal complexity functions we get by replacing finite words by finite patterns, or words with holes.

Three complexity functions

Sébastien Ferenczi, Pascal Hubert (2012)

RAIRO - Theoretical Informatics and Applications

For an extensive range of infinite words, and the associated symbolic dynamical systems, we compute, together with the usual language complexity function counting the finite words, the minimal and maximal complexity functions we get by replacing finite words by finite patterns, or words with holes.

Three generators for minimal writing-space computations

Serge Burckel, Marianne Morillon (2010)

RAIRO - Theoretical Informatics and Applications

We construct, for each integer n, three functions from {0,1}n to {0,1} such that any boolean mapping from {0,1}n to {0,1}n can be computed with a finite sequence of assignations only using the n input variables and those three functions.

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