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CORR
2010
Springer
120views Education» more  CORR 2010»
13 years 22 days ago
LRM-Trees: Compressed Indices, Adaptive Sorting, and Compressed Permutations
LRM-Trees are an elegant way to partition a sequence of values into sorted consecutive blocks, and to express the relative position of the first element of each block within a prev...
Jérémy Barbay, Johannes Fischer
ALENEX
2010
163views Algorithms» more  ALENEX 2010»
13 years 7 months ago
Succinct Trees in Practice
We implement and compare the major current techniques for representing general trees in succinct form. This is important because a general tree of n nodes is usually represented i...
Diego Arroyuelo, Rodrigo Cánovas, Gonzalo N...
IPL
2007
100views more  IPL 2007»
13 years 5 months ago
Average-case analysis of QuickSort and Binary Insertion Tree height using incompressibility
We study the Kolmogorov complexity of a Binary Insertion Tree, and present a succinct encoding scheme for Binary Insertion Trees produced from incompressible permutations. Based o...
Brendan Lucier, Tao Jiang, Ming Li
CPM
2004
Springer
144views Combinatorics» more  CPM 2004»
13 years 11 months ago
A Simple Optimal Representation for Balanced Parentheses
We consider succinct, or highly space-efficient, representations of a (static) string consisting of n pairs of balanced parentheses, that support natural operations such as findi...
Richard F. Geary, Naila Rahman, Rajeev Raman, Venk...
FCT
2007
Springer
13 years 12 months ago
On the Topological Complexity of Weakly Recognizable Tree Languages
We show that the family of tree languages recognized by weak alternating automata is closed by three set theoretic operations that correspond to sum, multiplication by ordinals <...
Jacques Duparc, Filip Murlak