NDLI: Preserving Proximity in Arrays

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Rosenberg, Arnold L.
Copyright Year	1975
Abstract	Efficiency of storage management in algorithms which use arrays is often enhanced if the arrays are stored in a proximity-preserving manner; that is, array positions which are close to one another in the array are stored close to one another. This paper is devoted to studying certain qualitative and quantitative questions concerning preservation of proximity by array storage schemes (or,realizations). It is shown that fully extendible array realizations cannot preserve proximity in any global sense, not even proximity along a single direction (say, along rows). They can, however, preserve proximity in certain local senses; and realizations which are optimal in various senses of local preservation are exhibited. Partially extendible array storage schemes can preserve proximity in a global way; bounds on their diameters of preservation are derived, and optimal schemes are exhibited.
Starting Page	443
Ending Page	460
Page Count	18
File Format	PDF
ISSN	00975397
DOI	10.1137/0204038
e-ISSN	10957111
Journal	SIAM Journal on Computing (SMJCAT)
Issue Number	4
Volume Number	4
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-13
Access Restriction	Subscribed
Subject Keyword	storage allocation array realization array extendible array
Content Type	Text
Resource Type	Article
Subject	Mathematics Computer Science

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