Adding range restriction capability to dynamic data structures

Author:

Willard Dan E.1,Lueker George S.2

Affiliation:

1. State Univ. of New York at Albany, Albany; and Bell Communications Research

2. Univ. of California at Irvine, Irvine

Abstract

A database is said to allow range restrictions if one may request that only records with some specified field in a specified range be considered when answering a given query. A transformation is presented that enables range restrictions to be added to an arbitrary dynamic data structure on n elements, provided that the problem satisfies a certain decomposability condition and that one is willing to allow increases by a factor of O (log n ) in the worst-case time for an operation and in the space used. This is a generalization of a known transformation that works for static structures. This transformation is then used to produce a data structure for range queries in k dimensions with worst-case times of O (log k n ) for each insertion, deletion, or query operation.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

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