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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 293, Pages 5–25 (Mi znsl1673)  
This article is cited in 8 scientific papers (total in 8 papers)

Systems of pair of $q$-distant representatives and graph colorings

P. A. Golovach

Syktyvkar State University
Full-text PDF (266 kB) Citations (8)
Abstract: NP-completeness of a number of graph coloring problems connected with the frequency assignment problem is proved. For this purpose we introduce problems concerning systems of pairs of $q$-distant representatives (related to the well known problem about the system of distinct representatives, but being NP-complete for $q\ge2$), which turned out to be convenient for proving NP-completeness of various graph coloring problems.
Received: 12.12.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 126, Issue 3, Pages 1141–1151
DOI: https://doi.org/10.1007/s10958-005-0059-5
Bibliographic databases:
UDC: 510.531+519.174
Language: Russian
Citation: P. A. Golovach, “Systems of pair of $q$-distant representatives and graph colorings”, Computational complexity theory. Part VII, Zap. Nauchn. Sem. POMI, 293, POMI, St. Petersburg, 2002, 5–25; J. Math. Sci. (N. Y.), 126:3 (2005), 1141–1151
Citation in format AMSBIB
\Bibitem{Gol02}
\by P.~A.~Golovach
\paper Systems of pair of $q$-distant representatives and graph colorings
\inbook Computational complexity theory. Part~VII
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 293
\pages 5--25
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1673}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1948822}
\zmath{https://zbmath.org/?q=an:1078.05031}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 126
\issue 3
\pages 1141--1151
\crossref{https://doi.org/10.1007/s10958-005-0059-5}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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