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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 417, Pages 5–10 (Mi znsl5705)  
Independent sets and chromatic numbers of circle graphs

S. L. Berlovab

a Yaroslavl' State University, Yaroslavl', Russia
b Physical and Mathematical Lyceum 239, St. Petersburg, Russia
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Abstract: Let the vertices of a circle graph be divided into several groups. This paper contains lower bounds on the size of an independent set that can be contained in one group of this subdivision.
Key words and phrases: circle graph, chromatic number, clique, independent set.
Received: 31.10.2013
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 204, Issue 2, Pages 181–184
DOI: https://doi.org/10.1007/s10958-014-2196-1
Bibliographic databases:
Document Type: Article
UDC: 519.174.7
Language: Russian
Citation: S. L. Berlov, “Independent sets and chromatic numbers of circle graphs”, Combinatorics and graph theory. Part VI, Zap. Nauchn. Sem. POMI, 417, POMI, St. Petersburg, 2013, 5–10; J. Math. Sci. (N. Y.), 204:2 (2015), 181–184
Citation in format AMSBIB
\Bibitem{Ber13}
\by S.~L.~Berlov
\paper Independent sets and chromatic numbers of circle graphs
\inbook Combinatorics and graph theory. Part~VI
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 417
\pages 5--10
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5705}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 204
\issue 2
\pages 181--184
\crossref{https://doi.org/10.1007/s10958-014-2196-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84925481648}
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