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» An Introduction to Binary Search Trees and Balanced Trees
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CORR
2011
Springer
215views Education» more  CORR 2011»
14 years 4 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
MSV
2004
14 years 11 months ago
S(b)-Trees: An Optimal Balancing of Variable Length Keys
The paper studies the problem of maintaining external dynamic dictionaries with variable length keys. We introduce a new type of balanced trees, called S(b)-trees, which generaliz...
Konstantin V. Shvachko
PKDD
2000
Springer
134views Data Mining» more  PKDD 2000»
15 years 1 months ago
Induction of Multivariate Decision Trees by Using Dipolar Criteria
A new approach to the induction of multivariate decision trees is proposed. A linear decision function (hyper-plane) is used at each non-terminal node of a binary tree for splittin...
Leon Bobrowski, Marek Kretowski
CPC
2002
80views more  CPC 2002»
14 years 9 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
GD
1998
Springer
15 years 1 months ago
Balanced Aspect Ratio Trees and Their Use for Drawing Very Large Graphs
We describe a new approach for cluster-based drawing of very large graphs, which obtains clusters by using binary space partition (BSP) trees. We also introduce a novel BSP-type de...
Christian A. Duncan, Michael T. Goodrich, Stephen ...