论文标题

G(n,p)中汉密尔顿周期的彩虹力量

Rainbow powers of a Hamilton cycle in G(n,p)

论文作者

Bell, Tolson, Frieze, Alan

论文摘要

我们表明,在$ g_ {n,p} $的随机边缘彩色副本中,将汉密尔顿周期功率的彩虹副本的阈值在未彩色阈值的恒定因子内。我们的证明需要$(1+ \ varepsilon)$乘以最小颜色数量。

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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