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%2F13%3A00209345" target="_blank" >RIV/68407700:21240/13:00209345 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/chapter/10.1007%2F978-3-642-40104-6_18" target="_blank" >http://link.springer.com/chapter/10.1007%2F978-3-642-40104-6_18</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-642-40104-6_18" target="_blank" >10.1007/978-3-642-40104-6_18</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 NP-hard problems dealing with the decomposition of nonnegative integer vectors into sums of few homogeneous segments. These problems are motivated by radiation therapy and database applications. If the segments may have onlypositive integer entries, then the problem is called Vector Explanation+. If arbitrary integer entries are allowed in the decomposition, then the problem is called Vector Explanation. Considering several natural parameterizations (including maximum vector entry, maximum difference between consecutive vector entries, maximum segment length), we obtain a refined picture of the computational (in-)tractability of these problems. In particular, we show that in relevant cases Vector Explanation+ is algorithmically harder than Vector Explanation.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
IN - Informatics
OECD FORD branch
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Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISBN
978-3-642-40103-9
ISSN
0302-9743
e-ISSN
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Number of pages
12
Pages from-to
207-218
Publisher name
Springer Science+Business Media
Place of publication
Berlin
Event location
London, ON
Event date
Aug 12, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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