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Rainbow powers of a Hamilton cycle in G(n,p)
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classification
math.CO
keywords
copycyclehamiltonrainbowthresholdcoloredcolorsconstant
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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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