Recursive star-tree parallel data structure
SIAM Journal on Computing
Sorting shuffled monotone sequences
Information and Computation
A framework for adaptive sorting
Discrete Applied Mathematics
Partitioning permutations into increasing and decreasing subsequences
Journal of Combinatorial Theory Series A
Compact pat trees
Succinct indexable dictionaries with applications to encoding k-ary trees and multisets
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
High-order entropy-compressed text indexes
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Proceedings of the 16th Conference on Foundations of Software Technology and Theoretical Computer Science
Opportunistic data structures with applications
FOCS '00 Proceedings of the 41st Annual Symposium on Foundations of Computer Science
Scaling and related techniques for geometry problems
STOC '84 Proceedings of the sixteenth annual ACM symposium on Theory of computing
Representing Trees of Higher Degree
Algorithmica
Squeezing succinct data structures into entropy bounds
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
ACM Computing Surveys (CSUR)
The cell probe complexity of succinct data structures
Theoretical Computer Science
Ultra-succinct representation of ordered trees
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
Succinct indexes for strings, binary relations and multi-labeled trees
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
Succinct indexable dictionaries with applications to encoding k-ary trees, prefix sums and multisets
ACM Transactions on Algorithms (TALG)
Optimal lower bounds for rank and select indexes
Theoretical Computer Science
Practical Entropy-Bounded Schemes for O(1)-Range Minimum Queries
DCC '08 Proceedings of the Data Compression Conference
Space-efficient static trees and graphs
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
Faster entropy-bounded compressed suffix trees
Theoretical Computer Science
Implicit compression boosting with applications to self-indexing
SPIRE'07 Proceedings of the 14th international conference on String processing and information retrieval
Fully-functional succinct trees
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
On space efficient two dimensional range minimum data structures
ESA'10 Proceedings of the 18th annual European conference on Algorithms: Part II
Optimal succinctness for range minimum queries
LATIN'10 Proceedings of the 9th Latin American conference on Theoretical Informatics
On the range maximum-sum segment query problem
ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
On compressing permutations and adaptive sorting
Theoretical Computer Science
| Hi-index | 5.23 |
LRM-Trees are an elegant way to partition a sequence of values into sorted consecutive blocks. They have been used to encode ordinal trees and to index integer arrays in order to support range minimum queries on them. We describe how they yield many other convenient results in a variety of areas: compressed indices for range minimum queries on partially sorted arrays, a new adaptive sorting algorithm, and a compressed data structure for permutations supporting direct and inverse application in time inversely proportional to the compressibility of the permutation.