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The HP model is one of the most popular discretized models for attacking the protein folding problem,
, for the computational prediction of the tertiary structure of a protein from its amino acid
sequence. It is based on the assumption that interactions between hydrophobic amino acids are the main
force in the folding process. Therefore, it distinguishes between polar and hydrophobic amino acids only and
tries to embed the amino acid sequence into a two- or three-dimensional grid lattice such...
This paper deals with lower bounds on the approximability of different subproblems of the Traveling
Salesman Problem (TSP) which is known not to admit any polynomial time approximation algorithm in general
(unless ). First of all, we present an improved lower bound for the Traveling Salesman Problem
with Triangle Inequality, -TSP for short. Moreover our technique, an extension of the method of
Engebretsen [11], also applies to the case of relaxed and sharpened triangle inequality,
respectively,...
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 . 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 on the minimum-ones...
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