Efficient range searching for categorical and plain data
- Autores: Yakov Nekrich
- Localización: ACM transactions on database systems, ISSN 0362-5915, Vol. 39, Nº 1, 2014
- Idioma: inglés
- Enlaces
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Resumen
In the orthogonal range-searching problem, we store a set of input points S in a data structure; the answer to a query Q is a piece of information about points in Q∩S, for example, the list of all points in Q∩S or the number of points in Q. In the colored (or categorical) range-searching problem, the set of input points is partitioned into categories; the answer to a query is a piece of information about categories of points in a query range.
In this article, we describe several new results for one- and two-dimensional range-searching problems. We obtain an optimal adaptive data structure for counting the number of objects in a three-sided range and for counting categories of objects in a one-dimensional range. We also obtain new results on color range reporting in two dimensions, approximate color counting in one dimension, and some other related problems.
