论文标题

第二好,第三,排名第四

Second Best, Third Worst, Fourth in Line

论文作者

Finch, Steven

论文摘要

我们更全面地研究了可分解的组合标记的结构,重点是A = 1或1/2的EXP-LOG类别。例如,随机N渗透中第二最长循环的模态长度为(0.2350 ...)n,而随机n映射中第二最小分量的模态长度为2(指出,给定n> = 434)。与较早的工作一样,我们的方法是确定现有理论与实验数据匹配并提出开放问题的程度如何。

We investigate decomposable combinatorial labeled structures more fully, focusing on the exp-log class of type a=1 or 1/2. For instance, the modal length of the second longest cycle in a random n-permutation is (0.2350...)n, whereas the modal length of the second smallest component in a random n-mapping is 2 (conjecturally, given n>=434). As in earlier work, our approach is to establish how well existing theory matches experimental data and to raise open questions.

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