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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 381, Pages 5–30 (Mi znsl3850)  
Chromatic numbers of layered graphs with bounded maximal clique

S. L. Berlov

Physical and Mathematical Lyceum No. 239, St. Petersburg, Russia
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Abstract: A graph is called $n$-layered if the set of its vertices is a union of pairwise nonintersected $n$-cliques. We estimate chromatic numbers of $n$-layered graphs without $(n+1)$-cliques. Bibl. 10 titles.
Key words and phrases: chromatic number, clique, clique number, Hall's theorem.
Received: 10.11.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 179, Issue 5, Pages 579–591
DOI: https://doi.org/10.1007/s10958-011-0610-5
Bibliographic databases:
Document Type: Article
UDC: 519.174.7
Language: Russian
Citation: S. L. Berlov, “Chromatic numbers of layered graphs with bounded maximal clique”, Combinatorics and graph theory. Part II, Zap. Nauchn. Sem. POMI, 381, POMI, St. Petersburg, 2010, 5–30; J. Math. Sci. (N. Y.), 179:5 (2011), 579–591
Citation in format AMSBIB
\Bibitem{Ber10}
\by S.~L.~Berlov
\paper Chromatic numbers of layered graphs with bounded maximal clique
\inbook Combinatorics and graph theory. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 381
\pages 5--30
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3850}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 179
\issue 5
\pages 579--591
\crossref{https://doi.org/10.1007/s10958-011-0610-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055179307}
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