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Diskretnaya Matematika, 1998, Volume 10, Issue 3, Pages 84–99
DOI: https://doi.org/10.4213/dm431 (Mi dm431) 		 
The nondensity function and generalized Ramsey numbers

V. A. Dol'nikov, O. P. Polyakova
Full-text PDF (1273 kB)
DOI: https://doi.org/10.4213/dm431
Abstract: A graph $G$ possesses the $(p, q)$-property if each its subgraph with $p$ vertices contains an empty subgraph with $q$ vertices. The independence function $p(q,G)$ is equal to the least $p$ such that the graph $G$ possesses the $(p,q)$-property, $q\ge2$. We consider the independence function and generalized Ramsey numbers for various classes of graphs.
This research was supported by the Russian Foundation for Basic Research, grant 96-01-01054.
Received: 04.07.1997
Revised: 28.05.1998
Bibliographic databases:
UDC: 519.1
Language: Russian
Citation: V. A. Dol'nikov, O. P. Polyakova, “The nondensity function and generalized Ramsey numbers”, Diskr. Mat., 10:3 (1998), 84–99; Discrete Math. Appl., 8:5 (1998), 499–516
Citation in format AMSBIB
\Bibitem{DolPol98}
\by V.~A.~Dol'nikov, O.~P.~Polyakova
\paper The nondensity function and generalized Ramsey numbers
\jour Diskr. Mat.
\yr 1998
\vol 10
\issue 3
\pages 84--99
\mathnet{http://mi.mathnet.ru/dm431}
\crossref{https://doi.org/10.4213/dm431}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1673674}
\zmath{https://zbmath.org/?q=an:0965.05075}
\transl
\jour Discrete Math. Appl.
\yr 1998
\vol 8
\issue 5
\pages 499--516
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    		Дискретная математика
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