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- W2952918105 abstract "The following sharpening of Tur'an's theorem is proved. Let $T_{n,p}$ denote the complete $p$--partite graph of order $n$ having the maximum number of edges. If $G$ is an $n$-vertex $K_{p+1}$-free graph with $e(T_{n,p})-t$ edges then there exists an (at most) $p$-chromatic subgraph $H_0$ such that $e(H_0)geq e(G)-t$. Using this result we present a concise, contemporary proof (i.e., one applying Szemer'edi's regularity lemma) for the classical stability result of Simonovits." @default.
- W2952918105 created "2019-06-27" @default.
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- W2952918105 date "2015-01-13" @default.
- W2952918105 modified "2023-09-26" @default.
- W2952918105 title "A proof of the stability of extremal graphs, Simonovits' stability from Szemer'edi's regularity" @default.
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