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Managing storage for extendible arrays (Extended Abstract)

Published: 30 April 1974 Publication History

Abstract

Efficient storage utilization by schemes which allocate storage for extendible arrays is studied. A minimax lower bound on efficiency of storage use by such schemes is derived; and a scheme which achieves this bound is exhibited. When arrays are constrained to expand according to a preassigned finite set of shapes, the general lower bound can be lowered dramatically; in fact, if a single shape for expansion is chosen, one can devise a scheme which utilizes storage perfectly for arrays of that shape.

References

[1]
E.d.S. de Villiers and L.B. Wilson, Hash coding methods for sparse matrices, Tech. Rpt. 45, Univ. of Newcastle upon Tyne (Computing Lab.) 1973.
[2]
D.E. Knuth, "The Art of Computer Programming I: Fundamental Algorithms," Addison-Wesley, Reading, Mass., 1968.
[3]
A.L. Rosenberg, Allocating storage for extendible arrays, J.ACM, to appear; see also IBM Report RC-4306, 1973.
[4]
A.L. Rosenberg, Managing storage for extendible arrays, SICOMP, to appear; see also IBM Reports RC-4433, RC-4450, 1973.
[5]
W. Sierpinski, "Elementary Theory of Numbers," Panstwowe Vydawnictwo Nankowe, Warsaw, 1964.
[6]
L.J. Stockmeyer, Extendible array realizations with additive traversal, IBM Report RC-4578, 1973.

Cited By

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  • (2013)Chunked extendible dense arrays for scientific data storageParallel Computing10.1016/j.parco.2013.08.00639:12(802-818)Online publication date: 1-Dec-2013
  • (2012)Chunked Extendible Dense Arrays for Scientific Data StorageProceedings of the 2012 41st International Conference on Parallel Processing Workshops10.1109/ICPPW.2012.9(38-47)Online publication date: 10-Sep-2012
  • (1978)Preserving average proximity in arraysCommunications of the ACM10.1145/359361.35944721:3(228-231)Online publication date: 1-Mar-1978

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cover image ACM Conferences
STOC '74: Proceedings of the sixth annual ACM symposium on Theory of computing
April 1974
352 pages
ISBN:9781450374231
DOI:10.1145/800119
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 30 April 1974

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STOC '74 Paper Acceptance Rate 35 of 95 submissions, 37%;
Overall Acceptance Rate 1,469 of 4,586 submissions, 32%

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Cited By

View all
  • (2013)Chunked extendible dense arrays for scientific data storageParallel Computing10.1016/j.parco.2013.08.00639:12(802-818)Online publication date: 1-Dec-2013
  • (2012)Chunked Extendible Dense Arrays for Scientific Data StorageProceedings of the 2012 41st International Conference on Parallel Processing Workshops10.1109/ICPPW.2012.9(38-47)Online publication date: 10-Sep-2012
  • (1978)Preserving average proximity in arraysCommunications of the ACM10.1145/359361.35944721:3(228-231)Online publication date: 1-Mar-1978

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