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All-pairs small-stretch paths

Published: 05 January 1997 Publication History
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References

[1]
D. Aingworth, C. Chekuri, P. Indyk, and R. Motwani. Fast estimation of diameter and shortest paths (without matrix multiplication). Manuscript, 1996.
[2]
D. Aingworth, C. Chekuri, and R. Motwani. Fast estimation of diameter and shortest paths (without matrix multiplication). In Proceedings of the 7th Annual A CM. SIAM Symposium on Discrete Algorithms, Atlanta, Georgia, pages 547-553, 1996.
[3]
N. Alon, Z. Galil, and O. Margalit. On the exponent of the all pairs shortest path problem. In Proceedings of the 32rd Annual IEEE Symposium on Foundations of Computer Science, San Juan, Puerto Rico, pages 569-575, 1991.
[4]
N. Alon, Z. Galil, O. Margalit, and M. Naor. Witnesses for boolean matrix multiplication and for shortest paths. In Proceedings of the 33rd Annual IEEE Symposlum on Foundations of Computer Science, Pittsburgh, Pennsylvania, pages 417-426, 1992.
[5]
N. Alon and J.H. Spencer. The probabilistic method. Wiley, 1992.
[6]
I. AlthSfer, G. Das, D. Dobkin, D. Joseph, and J. Soares. On spaxse spanners of weighted graphs. Discrete 6i Computational Geometry, 9:81-100, 1993.
[7]
B. Awerbuch. Complexity of network synchronization. Journal of the A CM, 32:804-823, 1985.
[8]
B. Awerbuch, B. Berger, L. Cowen, and D. Peleg. Near-linear cost sequential and distributed constructions of sparse neighborhood covers. In Proceedings of the 3drd Annual IEEE Symposium on Foundations of Computer Science, Palo Alto, California, pages 638- 647, 1993.
[9]
B. Chandra, G. Das, G. Narasimhan, and J. Soares. New sparseness results on graph spanners. In Proceedings of the 8th Annual A GM Symposium on Computational Geometry, Berlin, Germany, pages 192-201, 1992.
[10]
E. Cohen. Fast algorithms for constructing t-spanners and paths with stretch t (extended abstract). In Proceedings of the $4rd Annual IEEE Symposium on Foundations of Computer Science, Palo Alto, California, pages 648-658, 1993.
[11]
E. Cohen. Polylog-time and near-linear work approximarion scheme for undirected shortest paths. In Proceedings of the 26th Annual A UM Symposium on Theory of Computing, Montreal, Canada, pages 16-26, 1994.
[12]
D. Coppersmith and S. Winograd. Matrix multiplication via arithmetic progressions. Journal of Symbolic Computation, 9:251-280, 1990.
[13]
T.H. Cormen, C.E. Leiserson, and R.L. Rivest. Introduction to algorithms. The MIT Press, 1990.
[14]
E.W. Dijkstra. A note on two problems in connexion with graphs. Numerische Mathematik, 1:269-271, 1959.
[15]
D. Dot, S. Halperin, and U. Zwick. All pairs almost shortest paths. In Proceedings of the 37rd Annual IEEE Symposium on Foundations of Computer Science, Burlin#ton, Vermont, 1996. To appear.
[16]
M.L. Fredman. New bounds on the complexity of the shortest path problem. SIAM Journal on Computing, 5:49-60, 1976.
[17]
Z. Galil and O. Margalit. All pairs shortest distances for graphs with integer length edges. Submitted for publication, 1992.
[18]
Z. Galil and O. Margalit. Witnesses for boolean matrix multiplication. Journal of Complexity, 9:201- 221, 1993.
[19]
D.B. Johnson. Efficient algorithms for shortest paths in sparse graphs. Journal of the ACM, 24:1-13, 1977.
[20]
D. Peleg and A.A. Sch'$Mer. Graph spanners. Journal of Graph Theory, 13:99-116, 1989.
[21]
R. Seidel. On the all-pairs-shortest-path problem. In Proceedings of the ~4rd Annual A CM Symposium on Theory of Computing, Victoria, Canada, pages 745- 749, 1992.
[22]
T. Takaoka. A new upper bound on the complexity of the all pairs shortest path problem. Information Processing Letters, 43:195-199, 1992.
[23]
T. Takaoka. Sub-cubic cost algorithms for the all pairs shortest path problem. In Proceedings of the 21st International Workshop on, Graph-Theoretic Concepts in Computer Science, Aachen, Germany, Lecture Notes in Computer Science, Vol. 1017, pages 333-343. Springer-Verlag, 1995.

Cited By

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  • (2004)Compact roundtrip routing in directed networksJournal of Algorithms10.1016/j.jalgor.2003.08.00150:1(79-95)Online publication date: 1-Jan-2004
  • (2001)Finding least common ancestors in directed acyclic graphsProceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms10.5555/365411.365795(845-854)Online publication date: 9-Jan-2001
  • (2000)Compact roundtrip routing in directed networks (extended abstract)Proceedings of the nineteenth annual ACM symposium on Principles of distributed computing10.1145/343477.343516(51-59)Online publication date: 16-Jul-2000
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cover image ACM Conferences
SODA '97: Proceedings of the eighth annual ACM-SIAM symposium on Discrete algorithms
January 1997
788 pages
ISBN:0898713900

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Society for Industrial and Applied Mathematics

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Published: 05 January 1997

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Cited By

View all
  • (2004)Compact roundtrip routing in directed networksJournal of Algorithms10.1016/j.jalgor.2003.08.00150:1(79-95)Online publication date: 1-Jan-2004
  • (2001)Finding least common ancestors in directed acyclic graphsProceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms10.5555/365411.365795(845-854)Online publication date: 9-Jan-2001
  • (2000)Compact roundtrip routing in directed networks (extended abstract)Proceedings of the nineteenth annual ACM symposium on Principles of distributed computing10.1145/343477.343516(51-59)Online publication date: 16-Jul-2000
  • (1999)All Pairs Shortest Paths in Undirected Graphs with Integer WeightsProceedings of the 40th Annual Symposium on Foundations of Computer Science10.5555/795665.796471Online publication date: 17-Oct-1999
  • (1999)Compact roundtrip routing for digraphsProceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms10.5555/314500.315068(885-886)Online publication date: 1-Jan-1999
  • (1999)Compact routing with minimum stretchProceedings of the tenth annual ACM-SIAM symposium on Discrete algorithms10.5555/314500.314566(255-260)Online publication date: 1-Jan-1999

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