17 search results - page 1 / 4 » Universal Limit Laws for Depths in Random Trees |
SIAMCOMP
1998
13 years 10 months ago
1998
Random binary search trees, b-ary search trees, median-of-(2k+1) trees, quadtrees, simplex trees, tries, and digital search trees are special cases of random split trees. For these...
ALGORITHMICA
2005
13 years 10 months ago
2005
Abstract. We consider random tries and random patricia trees constructed from n independent strings of symbols drawn from any distribution on any discrete space. We show that many ...
ALGORITHMICA
2006
13 years 11 months ago
2006
We prove convergence in distribution for the profile (the number of nodes at each level), normalized by its mean, of random recursive trees when the limit ratio of the level and ...
DM
2008
13 years 11 months ago
2008
We introduce random recursive trees, where deterministically weights are attached to the edges according to the labeling of the trees. We will give a bijection between recursive t...
SIAMCOMP
2002
13 years 10 months ago
2002
We characterize all limit laws of the quicksort type random variables defined recursively by Xn d = XIn + X n-1-In + Tn when the "toll function" Tn varies and satisfies ...