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  • 1
    Call number: PIK M 031-01-0703
    Type of Medium: Monograph available for loan
    Pages: 524 p.
    ISBN: 3540654313
    Language: English
    Location: A 18 - must be ordered
    Branch Library: PIK Library
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Computational complexity 7 (1998), S. 163-173 
    ISSN: 1420-8954
    Keywords: Key words. Sperner's lemma; robust Turing machines.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract. Sperner's lemma states that any admissible coloring of any triangulation of the unit triangle has a 3‐colored triangle. In this paper, we first show that any algorithm to find this 3‐colored triangle that treats the coloring itself as an oracle must be in the worst case linear in the size of the triangulation. Successively, we apply this lower bound to solve three open questions on robust machines posed by Hartmanis and Hemachandra.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Theory of computing systems 33 (2000), S. 1-16 
    ISSN: 1433-0490
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract. In this paper we introduce a new polynomial-time approximation scheme preserving reducibility, which we call PTAS-reducibility, that generalizes previous definitions. As a first application of this generalization, we prove the APX-completeness under PTAS-reducibility of a polynomially bounded optimization problem, that is, an APX problem whose measure function is bounded by a polynomial in the length of the instance and such that any APX problem is PTAS-reducible to it. As far as we know, no such problem was known before. This result combined with results of Khanna et al. allows us to infer that several natural optimization problems are APX-complete under PTAS-reducibility, such as MAX CUT and MAX SAT. Successively, we apply the notion of APX-completeness under PTAS-reducibility to the study of the relative complexity of evaluating an r -approximate value and computing an r -approximate solution for any r . We first show that if P $\neq$ NP $\cap$ co NP, then the former question can be easier than the latter even if the optimization problem is NP-hard. We then give strong evidence that if an optimization problem is APX-complete under PTAS-reducibility, then the two questions are both hard.
    Type of Medium: Electronic Resource
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  • 4
    Publication Date: 2013-12-19
    Description: Motivation:  The increasing availability of metabolomics data enables to better understand the metabolic processes involved in the immediate response of an organism to environmental changes and stress. The data usually come in the form of a list of metabolites whose concentrations significantly changed under some conditions, and are thus not easy to interpret without being able to precisely visualize how such metabolites are interconnected. Results:  We present a method that enables to organize the data from any metabolomics experiment into metabolic stories. Each story corresponds to a possible scenario explaining the flow of matter between the metabolites of interest. These scenarios may then be ranked in different ways depending on which interpretation one wishes to emphasize for the causal link between two affected metabolites: enzyme activation, enzyme inhibition or domino effect on the concentration changes of substrates and products. Equally probable stories under any selected ranking scheme can be further grouped into a single anthology that summarizes, in a unique subnetwork, all equivalently plausible alternative stories. An anthology is simply a union of such stories. We detail an application of the method to the response of yeast to cadmium exposure. We use this system as a proof of concept for our method, and we show that we are able to find a story that reproduces very well the current knowledge about the yeast response to cadmium. We further show that this response is mostly based on enzyme activation. We also provide a framework for exploring the alternative pathways or side effects this local response is expected to have in the rest of the network. We discuss several interpretations for the changes we see, and we suggest hypotheses that could in principle be experimentally tested. Noticeably, our method requires simple input data and could be used in a wide variety of applications. Availability and implementation:  The code for the method presented in this article is available at http://gobbolino.gforge.inria.fr . Contact:   pvmilreu@gmail.com ; vincent.lacroix@univ-lyon1.fr ; marie-france.sagot@inria.fr Supplementary information: Supplementary data are available at Bioinformatics online.
    Print ISSN: 1367-4803
    Electronic ISSN: 1460-2059
    Topics: Biology , Computer Science , Medicine
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  • 5
    Publication Date: 2015-07-26
    Description: Motivation: Completing the genome sequence of an organism is an important task in comparative, functional and structural genomics. However, this remains a challenging issue from both a computational and an experimental viewpoint. Genome scaffolding (i.e. the process of ordering and orientating contigs) of de novo assemblies usually represents the first step in most genome finishing pipelines. Results: In this article we present M e D u S a (Multi-Draft based Scaffolder), an algorithm for genome scaffolding. M e D u S a exploits information obtained from a set of (draft or closed) genomes from related organisms to determine the correct order and orientation of the contigs. M e D u S a formalizes the scaffolding problem by means of a combinatorial optimization formulation on graphs and implements an efficient constant factor approximation algorithm to solve it. In contrast to currently used scaffolders, it does not require either prior knowledge on the microrganisms dataset under analysis (e.g. their phylogenetic relationships) or the availability of paired end read libraries. This makes usability and running time two additional important features of our method. Moreover, benchmarks and tests on real bacterial datasets showed that M e D u S a is highly accurate and, in most cases, outperforms traditional scaffolders. The possibility to use M e D u S a on eukaryotic datasets has also been evaluated, leading to interesting results. Availability and implementation: M e D u S a web server: http://combo.dbe.unifi.it/medusa . A stand-alone version of the software can be downloaded from https://github.com/combogenomics/medusa/releases . All results presented in this work have been obtained with M e D u S a v. 1.3. Contact: marco.fondi@unifi.it Supplementary information: Supplementary data are available at Bioinformatics online.
    Print ISSN: 1367-4803
    Electronic ISSN: 1460-2059
    Topics: Biology , Computer Science , Medicine
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