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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 391, Pages 35–44 (Mi znsl4567)  
On graphs with a large chromatic number containing no small odd cycles

S. L. Berlova, I. I. Bogdanovb

a Physical and Mathematical Lyceum 239, St. Petersburg, Russia
b Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow reg., Russia
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Abstract: We present lower bounds for the number of vertices in a graph with a large chromatic number containing no small odd cycles.
Key words and phrases: chromatic number, odd cycles, girth.
Received: 03.11.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 184, Issue 5, Pages 573–578
DOI: https://doi.org/10.1007/s10958-012-0882-4
Bibliographic databases:
Document Type: Article
UDC: 519.174.7+519.176
Language: Russian
Citation: S. L. Berlov, I. I. Bogdanov, “On graphs with a large chromatic number containing no small odd cycles”, Combinatorics and graph theory. Part III, Zap. Nauchn. Sem. POMI, 391, POMI, St. Petersburg, 2011, 35–44; J. Math. Sci. (N. Y.), 184:5 (2012), 573–578
Citation in format AMSBIB
\Bibitem{BerBog11}
\by S.~L.~Berlov, I.~I.~Bogdanov
\paper On graphs with a~large chromatic number containing no small odd cycles
\inbook Combinatorics and graph theory. Part~III
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 391
\pages 35--44
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4567}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 184
\issue 5
\pages 573--578
\crossref{https://doi.org/10.1007/s10958-012-0882-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884322799}
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  • https://www.mathnet.ru/eng/znsl/v391/p35
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