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Blocking for external graph searching

Published: 01 August 1993 Publication History

Abstract

In this paper, we consider the problem of using disk blocks efficiently in searching graphs that are too large to fit in internal memory. Our model allows a vertex to be represented any number of times on the disk in order to take advantage of redundancy. We give matching upper and lower bounds for complete d-ary trees and d-dimensional grid graphs, as well as for classes of general graphs that intuitively speaking have a close to uniform number of neighbors around each vertex. We also show that for the special case of grid graphs blocked with isothetic hypercubes, there is a provably better speed-up if even a small amount of redundancy is permitted.

References

[1]
Alok Aggarwal and James Park, "Notes on Searching in Multidimensional Monotone Arrays," Proceedings of 29#h Annual IEEE Symposium on Foundations of Computer Science (October 1988), 497-512.
[2]
Romas Aleliunas and Arnold L. Rosenberg, "On Embedding Rectangular Grids in Square Grids," IEEE Transactzons on Computers C- 31 (1982), 907-913.
[3]
Claude Berge, Graphs and Hypergraphs (second edition), North-Holland Publishing Company, Amsterdam, 1976.
[4]
Allan Borodin, Sandy Irani, Prabhakar Raghavan, and Baruch Schieber, "Competitive Paging with Locality of Reference," Proc. of the 23rd ACM Symposzum on Theory of Computing (May 1991), 249-259.
[5]
F.R.K. Chung, A. L. Rosenberg, and Lawrence Snyder, "Perfect Storage Representations for Families of Data Structures," SIAM J. Algorithms and Discrete Methods 4(1983), 548- 565.
[6]
Richard A. DeMillo, Stanley C. Eisenstat, and Richard J. Lipton, "Preserving Average Proximity in Arrays," Communication of the ACM 21(1978), 228-231.
[7]
Michael R. Garey and David S. Johnson, Computers and Intractability: A Guide #o the Theory of NP.Completeness, W. H. Freeman & Co., New York, 1979.
[8]
Edmund Ihler, "Bounds on the Quality of Approximate Solutions to the Group Steiner Problem," in Graph-Theoretic Concepts in Computer Science, Proceedings of #he 16th International Workshop WG '90, G. Goos and J. Hartmanis, eds., Lecture Notes in Computer Science#484, Springer-Verlag, Berlin, 1991, 109-118.
[9]
Donald E. Knuth, in The Art of Computer Programming, Volume 3: Sorting and Searching, Addison-Wesley, Reading, MA, 1973.
[10]
R. J. Lipton, S. C. Eisenstat, and R. A. De- Millo, "Space and Time Hierarchies for Classes of Control Structures and Data Structures," J. Association for Computing Machznery 23 (1976), 720-732.
[11]
Gabriele Reich and Peter Widmayer, "Beyond Steiner's Problem: A VLSI Oriented Generalization," in Graph-Theoretic Comcepts in Computer Science: Proceedings of the 15th International Workshop WG '89, G. Goos and J. Hartmanis, eds., Lecture Notes in Computer Science #411, Springer-Verlag, New York, 1990, 196-210.
[12]
Arnold L. Rosenberg, "Preserving Proximity in Arrays," SIAM J. Comput. 4 (1975), 443-460.
[13]
Arnold L. Rosenberg, "Data Encodings and Their Costs," Acta Informatica 9(1978), 273- 292.
[14]
Arnold L. Rosenberg, "Encoding Data Structures in Trees," J. Association for Computing Machinery 26 (1979), 668-689.
[15]
Arnold L. Rosenberg and Lawrence Snyder, "Bounds on the Costs of Data Encodings," Math. Systems Theory 12 (1978), 9-39.
[16]
Jeffrey D. Ullman, in Principles of Database and Knowledge-Base Systems, Computer Science Press, Rockville, MD, 1988.
[17]
Jeffrey D. Ullman and Mihalis Yannakakis, "The Input/Output Complexity of Transitive Closure," Annals of Mathematics and Artificial Intelligence (1991), 331-360.

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cover image ACM Conferences
PODS '93: Proceedings of the twelfth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
August 1993
312 pages
ISBN:0897915933
DOI:10.1145/153850
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: 01 August 1993

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PODS '93 Paper Acceptance Rate 26 of 115 submissions, 23%;
Overall Acceptance Rate 642 of 2,707 submissions, 24%

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Cited By

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  • (2015)A Hybrid Approach to Processing Big Data Graphs on Memory-Restricted SystemsProceedings of the 2015 IEEE International Parallel and Distributed Processing Symposium10.1109/IPDPS.2015.28(799-808)Online publication date: 25-May-2015
  • (2008)External Memory Algorithms for String ProblemsFundamenta Informaticae10.5555/2365293.236529684:1(17-32)Online publication date: 1-Jan-2008
  • (2008)External Memory Algorithms for String ProblemsFundamenta Informaticae10.5555/1402623.140262684:1(17-32)Online publication date: 1-Jan-2008
  • (2005)Topology B-trees and their applicationsAlgorithms and Data Structures10.1007/3-540-60220-8_78(381-392)Online publication date: 1-Jun-2005
  • (2005)Paging more than one pageLATIN '95: Theoretical Informatics10.1007/3-540-59175-3_95(272-285)Online publication date: 6-Jun-2005
  • (2005)Memory paging for connectivity and path problems in graphsAlgorithms and Computation10.1007/3-540-57568-5_273(416-425)Online publication date: 1-Jun-2005
  • (2002)Out-of-core rendering of massive geometric environmentsProceedings of the conference on Visualization '0210.5555/602099.602108(69-76)Online publication date: 27-Oct-2002
  • (2002)Out-of-core rendering of massive geometric environmentsIEEE Visualization, 2002. VIS 2002.10.1109/VISUAL.2002.1183759(69-76)Online publication date: 2002
  • (2001)Mining patterns from graph traversalsData & Knowledge Engineering10.1016/S0169-023X(01)00008-837:3(243-266)Online publication date: 1-Jun-2001
  • (2001)Finding Generalized Path Patterns for Web Log Data MiningCurrent Issues in Databases and Information Systems10.1007/3-540-44472-6_17(215-228)Online publication date: 1-Jun-2001

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