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CPC
1999
105views more  CPC 1999»
13 years 3 months ago
Total Path Length For Random Recursive Trees
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...
Robert P. Dobrow, James Allen Fill
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 10 months ago
The total path length of split trees
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...
Nicolas Broutin, Cecilia Holmgren
DAM
2000
199views more  DAM 2000»
13 years 3 months ago
Approximation algorithms for the shortest total path length spanning tree problem
Given an undirected graph with a nonnegative weight on each edge, the shortest total path length spanning tree problem is to
Bang Ye Wu, Kun-Mao Chao, Chuan Yi Tang
CPC
2002
80views more  CPC 2002»
13 years 3 months ago
The Wiener Index Of Random Trees
The Wiener index is analyzed for random recursive trees and random binary search trees in the uniform probabilistic models. We obtain the expectations, asymptotics for the varianc...
Ralph Neininger
RSA
2002
69views more  RSA 2002»
13 years 3 months ago
On the covariance of the level sizes in random recursive trees
In this paper we study the covariance structure of the number of nodes k and l steps away from the root in random recursive trees. We give an analytic expression valid for all k, ...
Remco van der Hofstad, Gerard Hooghiemstra, Piet V...