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Streaming algorithm for graph spanners---single pass and constant processing time per edge

Published: 01 April 2008 Publication History

Abstract

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References

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Althöfer, I., Das, G., Dobkin, D.P., Joseph, D. and Soares, J., On sparse spanners of weighted graphs. Discrete and Computational Geometry. v9. 81-100.
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Ausiello, G., Demetrescu, C., Franciosa, P.G., Italiano, G.F. and Ribichini, A., Small stretch spanners in the streaming model: New algorithms and experiments. In: LNCS, vol. 4698. Springer. pp. 605-617.
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Awerbuch, B., Complexity of network synchronization. Journal of ACM. 804-823.
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Baswana, S. and Sen, S., A simple and linear time randomized algorithm for computing sparse spanners in weighted graphs. Random Structures and Algorithms. v30. 532-563.
[5]
Elkin, M., Streaming and fully dynamic centralized algorithms for constructing and maintaining sparse spanners. In: Lecture Notes in Comput. Sci., vol. 4596. Springer. pp. 716-727.
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Elkin, M. and Peleg, D., Strong inapproximability of the basic k-spanner problem. In: LNCS, vol. 1853. Springer. pp. 636-648.
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Erdős, P., Extremal problems in graph theory. In: Proc. Sympos. Smolenice, vol. 1963. Publ. House Czechoslovak Acad. Sci., Prague. pp. 29-36.
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Feigenbaum, J., Kannan, S., McGregor, A., Suri, S. and Zhang, J., On graph problems in a semi-streaming model. In: LNCS, vol. 3142. Springer. pp. 531-543.
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J. Feigenbaum, S. Kannan, A. McGregor, S. Suri, J. Zhang, Graph distances in the streaming model: the value of space, in: Proceedings of 16th Annual ACM--SIAM Symposium on Discrete Algorithms, 2005, pp. 745--754
[10]
S. Halperin, U. Zwick, Linear time deterministic algorithm for computing spanners for unweighted graphs, unpublished manuscript, 1996
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Henzinger, M.R., Raghavan, P. and Rajagopalan, S., Computing on data streams. In: DIMACS Series in Discrete Mathematics and Theoretical Computer Science, vol. 50. pp. 107-118.
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McGregor, A., Finding graph matchings in streaming model. In: LNCS, vol. 3624. Springer. pp. 170-181.
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Peleg, D. and Schäffer, A., Graph spanners. Journal of Graph Theory. v13. 99-116.

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  • (2022)Locality-sensitive orderings and applications to reliable spannersProceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing10.1145/3519935.3520042(1066-1079)Online publication date: 9-Jun-2022
  • (2022)Brief Announcement: (1+ε)-Approximate Shortest Paths in Dynamic Streams.Proceedings of the 2022 ACM Symposium on Principles of Distributed Computing10.1145/3519270.3538469(57-59)Online publication date: 20-Jul-2022
  • (2021)Smaller Cuts, Higher Lower BoundsACM Transactions on Algorithms10.1145/346983417:4(1-40)Online publication date: 4-Oct-2021
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  1. Streaming algorithm for graph spanners---single pass and constant processing time per edge

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        Published In

        cover image Information Processing Letters
        Information Processing Letters  Volume 106, Issue 3
        April, 2008
        46 pages

        Publisher

        Elsevier North-Holland, Inc.

        United States

        Publication History

        Published: 01 April 2008

        Author Tags

        1. Analysis of algorithms
        2. On-line algorithms
        3. Shortest path
        4. Spanner
        5. Streaming

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        • (2022)Locality-sensitive orderings and applications to reliable spannersProceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing10.1145/3519935.3520042(1066-1079)Online publication date: 9-Jun-2022
        • (2022)Brief Announcement: (1+ε)-Approximate Shortest Paths in Dynamic Streams.Proceedings of the 2022 ACM Symposium on Principles of Distributed Computing10.1145/3519270.3538469(57-59)Online publication date: 20-Jul-2022
        • (2021)Smaller Cuts, Higher Lower BoundsACM Transactions on Algorithms10.1145/346983417:4(1-40)Online publication date: 4-Oct-2021
        • (2021)Constant-Round Spanners and Shortest Paths in Congested Clique and MPCProceedings of the 2021 ACM Symposium on Principles of Distributed Computing10.1145/3465084.3467928(223-233)Online publication date: 21-Jul-2021
        • (2018)Efficient Algorithms for Constructing Very Sparse Spanners and EmulatorsACM Transactions on Algorithms10.1145/327465115:1(1-29)Online publication date: 16-Nov-2018
        • (2018)Distributed construction of purely additive spannersDistributed Computing10.1007/s00446-017-0306-231:3(223-240)Online publication date: 1-Jun-2018
        • (2017)Efficient algorithms for constructing very sparse spanners and emulatorsProceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3039686.3039728(652-669)Online publication date: 16-Jan-2017
        • (2016)SP2Proceedings of the Sixth International Conference on Emerging Databases: Technologies, Applications, and Theory10.1145/3007818.3007837(43-50)Online publication date: 17-Oct-2016
        • (2016)Semi-Streaming Set CoverACM Transactions on Algorithms10.1145/295732213:1(1-22)Online publication date: 15-Nov-2016
        • (2016)A deterministic almost-tight distributed algorithm for approximating single-source shortest pathsProceedings of the forty-eighth annual ACM symposium on Theory of Computing10.1145/2897518.2897638(489-498)Online publication date: 19-Jun-2016
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