124 search results - page 1 / 25 » The Path Length of Binary Trees |
FODO
1989
Springer
13 years 9 months ago
1989
Springer
We further refine the bounds on the path length of binary trees of a given size by considering not only the size of a binary tree, but also its height and fringe thickness (the d...
ALGORITHMICA
2006
13 years 5 months ago
2006
We show that the number of t-ary trees with path length equal to p is t h(t-1) tp log2 p(1+o(1)) , where h(x)=-x log2 x-(1-x) log2(1-x) is the binary entropy function. Besides its...
CORR
2011
Springer
13 years 8 days ago
2011
Springer
We consider the model of random trees introduced by Devroye [SIAM J Comput 28, 409– 432, 1998]. The model encompasses many important randomized algorithms and data structures. T...
CPC
1999
13 years 5 months ago
1999
Total path length, or search cost, for a rooted tree is defined as the sum of all root-to-node distances. Let Tn be the total path length for a random recursive tree of order n. M...
APPROX
2008
Springer
13 years 7 months ago
2008
Springer
Abstract. We give a (ln n + 1)-approximation for the decision tree (DT) problem. An instance of DT is a set of m binary tests T = (T1, . . . , Tm) and a set of n items X = (X1, . ....