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WADS
2009
Springer
268views Algorithms» more  WADS 2009»
15 years 7 months ago
Succinct Orthogonal Range Search Structures on a Grid with Applications to Text Indexing
We present a succinct representation of a set of n points on an n × n grid using n lg n + o(n lg n) bits3 to support orthogonal range counting in O(lg n/ lg lg n) time, and range ...
Prosenjit Bose, Meng He, Anil Maheshwari, Pat Mori...
SODA
2010
ACM
202views Algorithms» more  SODA 2010»
15 years 10 months ago
Counting Inversions, Offline Orthogonal Range Counting, and Related Problems
We give an O(n lg n)-time algorithm for counting the number of inversions in a permutation on n elements. This improves a long-standing previous bound of O(n lg n/ lg lg n) that ...
Timothy M. Chan, Mihai Patrascu