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» The Path Length of Binary Trees
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DM
2008
113views more  DM 2008»
13 years 9 months ago
Multivariate Fuss-Catalan numbers
Catalan numbers C(n) = 1 n+1 2n n enumerate binary trees and Dyck paths. The distribution of paths with respect to their number k of factors is given by ballot numbers B(n, k) = n-...
Jean-Christophe Aval
ENTCS
2002
90views more  ENTCS 2002»
13 years 8 months ago
Inorder traversal of splay trees
Splay trees, a form of self-adjusting binary tree, were introduced by Sleator and Tarjan in the early 1980s. Their main use is to store ordered lists. The idea is to keep the tree...
Colm Ó'Dúnlaing
COCOON
1999
Springer
14 years 1 months ago
An External Memory Data Structure for Shortest Path Queries
We present results related to satisfying shortest path queries on a planar graph stored in external memory. Let N denote the number of vertices in the graph and let sort(N) denote...
David A. Hutchinson, Anil Maheshwari, Norbert Zeh
CORR
2010
Springer
174views Education» more  CORR 2010»
13 years 9 months ago
Gaussian Process Bandits for Tree Search
We motivate and analyse a new Tree Search algorithm, based on recent advances in the use of Gaussian Processes for bandit problems. We assume that the function to maximise on the ...
Louis Dorard, John Shawe-Taylor
ASIACRYPT
2003
Springer
14 years 2 months ago
New Parallel Domain Extenders for UOWHF
We present two new parallel algorithms for extending the domain of a UOWHF. The first algorithm is complete binary tree based construction and has less key length expansion than S...
Wonil Lee, Donghoon Chang, Sangjin Lee, Soo Hak Su...