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- W3132915420 abstract "In this paper, we study the rainbow Erdős-Rothschild problem with respect to 3-term arithmetic progressions. We obtain the asymptotic number of $r$-colorings of $[n]$ without rainbow 3-term arithmetic progressions, and we show that the typical colorings with this property are 2-colorings. We also prove that $[n]$ attains the maximum number of rainbow 3-term arithmetic progression-free $r$-colorings among all subsets of $[n]$. Moreover, the exact number of rainbow 3-term arithmetic progression-free $r$-colorings of $mathbb{Z}_p$ is obtained, where $p$ is any prime and $mathbb{Z}_p$ is the cyclic group of order $p$." @default.
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- W3132915420 date "2022-05-06" @default.
- W3132915420 modified "2023-10-16" @default.
- W3132915420 title "Integer Colorings with No Rainbow 3-Term Arithmetic Progression" @default.
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- W3132915420 doi "https://doi.org/10.37236/10249" @default.
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