NDLI: Space-Time Trade-Offs for Orthogonal Range Queries

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Space-Time Trade-Offs for Orthogonal Range Queries

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Vaidya, Pravin M.
Copyright Year	1989
Abstract	This paper investigates the question of (storage) space-(retrieval) time trade-off for orthogonal range queries on a static data base. Each record in the data base consists of a key that is a d-tuple of integers, and a data value that is an element in a commutative semigroup G. An orthogonal range query is specified by a d-dimensional parallelepiped (box). Two types of response to such a query are considered: one where the output is the semigroup sum of the data values whose keys are located in the query parallelepiped, and the other where the output is a list of all the records whose keys lie in the query parallelepiped. This paper studies two models, the arithmetic model and the tree model and obtains lower bounds on the product of retrieval time and storage space in both models.
Starting Page	748
Ending Page	758
Page Count	11
File Format	PDF
ISSN	00975397
DOI	10.1137/0218051
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	4
Volume Number	18
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-13
Access Restriction	Subscribed
Subject Keyword	space-time trade-offs Analysis of algorithms and problem complexity Computer graphics; computational geometry range queries lower bounds
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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