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On Explaining Integer Vectors by Few Homogenous Segments

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21240%2F15%3A00237620" target="_blank" >RIV/68407700:21240/15:00237620 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jcss.2014.12.028" target="_blank" >http://dx.doi.org/10.1016/j.jcss.2014.12.028</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jcss.2014.12.028" target="_blank" >10.1016/j.jcss.2014.12.028</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On Explaining Integer Vectors by Few Homogenous Segments

  • Original language description

    We extend previous studies on ``explaining'' a nonnegative integer vector by sums of few homogeneous segments, that is, vectors where all nonzero entries are equal and consecutive. We study two NP-complete variants which are motivated by radiation therapy and database applications. In textsc{Vector Positive Explanation}, the segments may have only positive integer entries; in textsc{Vector Explanation}, the segments may have arbitrary integer entries. Considering several natural parameterizations such as the maximum vector entry~$gamma$ and the maximum difference~$delta$ between consecutive vector entries, we obtain a refined picture of the computational (in-)tractability of these problems. For example, we show that textsc{Vector Explanation} is fixed-parameter tractable with respect to~$delta$, and that, unless $text{NP}subseteq text{{coNP/poly}}$, there is no polynomial kernelization for textsc{Vector Positive Explanation} with respect to the parameter~$gamma$. We also identify relev

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Computer and System Sciences

  • ISSN

    0022-0000

  • e-ISSN

  • Volume of the periodical

    81

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    17

  • Pages from-to

    766-782

  • UT code for WoS article

    000349741800010

  • EID of the result in the Scopus database

    2-s2.0-84925126440