Biased Range Trees

A data structure, called a biased range tree, is presented that preprocesses a set S of n points in R2 and a query distribution D for 2-sided orthogonal range counting queries. The expected query time for this data structure, when queries are drawn according to D, matches, to within a constant factor, that of the optimal decision tree for S and D. The memory and preprocessing requirements of the data structure are O(n log n).

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Vida Dujmovic, John Howat, Pat Morin
• Keywords: Biased Range Tree, CORR 2008, Data Structure, Education, Query Distribution