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
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
IN - Informatics
OECD FORD branch
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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
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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