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Fast estimation of diameter and shortest paths (without matrix multiplication)

Published: 28 January 1996 Publication History
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References

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N. Alon, Z. Galil, and O. Margalit. On the exponent of the all pairs shortest path problem. In Proceedings of the 32nd Annual IEEE Symposium on Founds. tions of Computer Science, pages 569-575, 1991.
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N. Alon, Z. Galil, O. Margalit, and M Naor. Witnesses for Boolean Matrix Multiplication and for Shortest Paths. In Proceedings of the 33nd Annual IEEE Symposium on Foundations of Computer Sci. ence, pages 417-426, 1992.
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J. Basch, S. Khanna, and R. Motwani. On Diameter Verification and Boolean Matrix Multiplication. Report No. STAN-CS-95-1544, Department of Computer Science, Stanford University (1995).
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B. Bollob~s. Random Graphs. Academic Press, 1985.
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Fan R.K. Chung. Diameters of Graphs: Old Problems and New Results. Congressus Numerantium, 60:295-317, 1987.
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D. Coppersmith and S. Winograd. Matrix multiplication via arithmetic progressions. Journal of Symbolic Computation, 9:251-280, 1990.
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T. Feder and R. Motwani. Clique partitions, graph compression and speeding-up algorithms. In Proceedings of the 25th Annual A CM Symposium on Theory of Computing, pages 123-133, 1991.
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D.S. Johnson. Approximation algorithms for combinatorial problems. Journal of Computer and System Sciences, 9:256-278, 1974.
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D.E. Knuth The Stanford GraphBase: A platform for combinatorial computing. Addison-Wesley publishing company, 1993.
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L. Lov~sz. On the ratio of optimal integral and fractional covers. Discrete Mathematics, 13:383-390, 1975
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R.G. Seidel. On the all-pairs-shortest-path problem. In Proceedings of the 24th Annual A CM Symposium on Theory of Computing, pages 745-749, 1992.
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cover image ACM Conferences
SODA '96: Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms
January 1996
586 pages
ISBN:0898713668

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Society for Industrial and Applied Mathematics

United States

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Published: 28 January 1996

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SODA96
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SODA96: Conference on Discrete Algorithms
January 28 - 30, 1996
Georgia, Atlanta, USA

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Overall Acceptance Rate 411 of 1,322 submissions, 31%

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  • (2017)Linear size distance preserversProceedings of the Twenty-Eighth Annual ACM-SIAM Symposium on Discrete Algorithms10.5555/3039686.3039725(600-615)Online publication date: 16-Jan-2017
  • (2017)The 4/3 Additive Spanner Exponent Is TightJournal of the ACM10.1145/308851164:4(1-20)Online publication date: 7-Sep-2017
  • (2016)The 4/3 additive spanner exponent is tightProceedings of the forty-eighth annual ACM symposium on Theory of Computing10.1145/2897518.2897555(351-361)Online publication date: 19-Jun-2016
  • (2011)Determining the diameter of small world networksProceedings of the 20th ACM international conference on Information and knowledge management10.1145/2063576.2063748(1191-1196)Online publication date: 24-Oct-2011
  • (2009)Fast computation of empirically tight bounds for the diameter of massive graphsACM Journal of Experimental Algorithmics10.1145/1412228.145526613(1.10-1.9)Online publication date: 23-Feb-2009
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