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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 247–260 (Mi timm859)  
This article is cited in 3 scientific papers (total in 3 papers)

The computational complexity and approximability of a series of geometric covering problems

M. Yu. Khachaiab, M. I. Poberiib

a Ural Federal University
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (211 kB) Citations (3)
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Abstract: We consider a series of geometric problems on the covering of finite subsets of finite-dimensional numerical spaces by minimal families of hyperplanes. We prove that the problems are hard and Max-SNP-hard.
Keywords: $NP$-complete problem, polynomial-time reduction, Max-SNP-hard problem, $L$-reduction, polynomial-time approximation scheme (PTAS).
Received: 26.03.2012
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 283, Issue 1, Pages 64–77
DOI: https://doi.org/10.1134/S008154381309006X
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: M. Yu. Khachai, M. I. Poberii, “The computational complexity and approximability of a series of geometric covering problems”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 247–260; Proc. Steklov Inst. Math. (Suppl.), 283, suppl. 1 (2013), 64–77
Citation in format AMSBIB
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\by M.~Yu.~Khachai, M.~I.~Poberii
\paper The computational complexity and approximability of a~series of geometric covering problems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 3
\pages 247--260
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2013
\vol 283
\issue , suppl. 1
\pages 64--77
\crossref{https://doi.org/10.1134/S008154381309006X}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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