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Rainbow powers of a Hamilton cycle in G(n,p) (2210.08534v2)
Published 16 Oct 2022 in math.CO
Abstract: We show that the threshold for having a rainbow copy of a power of a Hamilton cycle in a randomly edge colored copy of $G_{n,p}$ is within a constant factor of the uncolored threshold. Our proof requires $(1+\varepsilon)$ times the minimum number of colors.
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