Timeline for Extremal graph theory - many copies of $K_r$ imply a copy of $r$-chromatic $H$
Current License: CC BY-SA 4.0
7 events
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Jun 15, 2023 at 12:03 | comment | added | Yevgeny Levanzov | Indeed, thanks! | |
Jun 15, 2023 at 11:17 | comment | added | Tony Huynh | You're right. I edited the answer. It follows from a result of Alon and Shikhelman. | |
Jun 15, 2023 at 11:17 | history | edited | Tony Huynh | CC BY-SA 4.0 |
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Jun 15, 2023 at 9:32 | comment | added | Yevgeny Levanzov | This is not quite right: the fact that $G$ has $n^{r-\varepsilon}$ copies of $K_r$ does not imply that at most $O(n^\varepsilon)$ $r$-subsets are not cliques, as the $-\varepsilon$ is in the exponent, thus $n^{r-\varepsilon} + x = \Theta(n^r)$ gives $x \approx n^{r-\varepsilon} \cdot (n^\varepsilon - 1)$ $r$-subsets which are not cliques. | |
Jun 14, 2023 at 17:52 | vote | accept | Yevgeny Levanzov | ||
Jun 14, 2023 at 17:50 | history | edited | Tony Huynh | CC BY-SA 4.0 |
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Jun 14, 2023 at 17:44 | history | answered | Tony Huynh | CC BY-SA 4.0 |