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TOIS
2002
97views more  TOIS 2002»
13 years 4 months ago
Burst tries: a fast, efficient data structure for string keys
Many applications depend on efficient management of large sets of distinct strings in memory. For example, during index construction for text databases a record is held for each d...
Steffen Heinz, Justin Zobel, Hugh E. Williams
IPL
2002
74views more  IPL 2002»
13 years 4 months ago
Restricted rotation distance between binary trees
Restricted rotation distance between pairs of rooted binary trees measures differences in tree shape and is related to rotation distance. In restricted rotation distance, the rota...
Sean Cleary
IJAC
2007
89views more  IJAC 2007»
13 years 4 months ago
Bounding Right-Arm Rotation Distances
Abstract. Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to tra...
Sean Cleary, Jennifer Taback
EJC
2008
13 years 4 months ago
On Postnikov's hook length formula for binary trees
We present a combinatorial proof of Postnikov's hook length formula for binary trees. c 2007 Elsevier Ltd. All rights reserved. Let [n] = {1, 2, . . . , n}. It is well known ...
William Y. C. Chen, Laura L. M. Yang
DM
2008
113views more  DM 2008»
13 years 4 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
CORR
2010
Springer
94views Education» more  CORR 2010»
13 years 4 months ago
Complexity dichotomy on partial grid recognition
Deciding whether a graph can be embedded in a grid using only unitlength edges is NP-complete, even when restricted to binary trees. However, it is not difficult to devise a numbe...
Vinícius G. P. de Sá, Guilherme Dias...
ALENEX
2009
106views Algorithms» more  ALENEX 2009»
13 years 5 months ago
Drawing Binary Tanglegrams: An Experimental Evaluation
A tanglegram is a pair of trees whose leaf sets are in oneto-one correspondence; matching leaves are connected by inter-tree edges. In applications such as phylogenetics or hierar...
Martin Nöllenburg, Markus Völker, Alexan...
FODO
1989
Springer
268views Algorithms» more  FODO 1989»
13 years 8 months ago
The Path Length of Binary Trees
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...
Rolf Klein, Derick Wood
ECSQARU
2003
Springer
13 years 9 months ago
Computational-Workload Based Binarization and Partition of Qualitative Markov Trees for Belief Combination
Abstract. Binary join trees have been a popular structure to compute the impact of multiple belief functions initially assigned to nodes of trees or networks. Shenoy has proposed t...
Weiru Liu, Xin Hong, Kenneth Adamson
SIGMOD
2005
ACM
136views Database» more  SIGMOD 2005»
13 years 10 months ago
Optimizing recursive queries in SQL
Recursion represents an important addition to the SQL language. This work focuses on the optimization of linear requeries in SQL. To provide an abstract framework for discussion, ...
Carlos Ordonez