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Mahdian, Mohammad
Long rainbow arithmetic progressions ★★
Author(s): Fox; Jungic; Mahdian; Nesetril; Radoicic
For let
denote the minimal number
such that there is a rainbow
in every equinumerous
-coloring of
for every
Conjecture For all
,
.
![$ k\geq 3 $](/files/tex/c403b537b372cb5d16b6129dce0f0c416c1f1b31.png)
![$ T_k=\Theta (k^2) $](/files/tex/861c6fb3fc588a2247540bcd7bf32e42032ad265.png)
Keywords: arithmetic progression; rainbow
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