Bimodality and Phase Transitions in the Profile Variance of Random Binary Search Trees
نویسندگان
چکیده
We show that the variance of the profiles (number of nodes at each level) of random binary search trees exhibits asymptotically four phase transitions and a bimodal or “two-humped” behavior, in contrast to the unimodality of the mean value of the profiles. Precise asymptotic approximations are derived. The same types of phenomena also hold for the profiles of random recursive trees.
منابع مشابه
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ورودعنوان ژورنال:
- SIAM J. Discrete Math.
دوره 19 شماره
صفحات -
تاریخ انتشار 2005