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Hard graphs for randomized subgraph exclusion algorithms

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Algorithm Theory — SWAT '94 (SWAT 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 824))

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Abstract

A randomized version of the Clique approximation algorithm by Boppana and Halldórsson is analyzed. The Boppana Halldórsson algorithm is currently the only approximation algorithm for the Clique problem with a non-trivial performance guarantee. This paper presents a class of graphs on which the performance ratio of the randomized version of the algorithm is not better than Ω(√n) with probability greater than 1-1/n ω(1).

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References

  1. Noga Alon, Joel Spencer, and Paul Erdös. The Probabilistic Method. Wiley, 1992.

    Google Scholar 

  2. S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy. Proof verification and hardness of approximation problems. In 33rd FOCS, pages 14–23, 1992.

    Google Scholar 

  3. R. Boppana and M. Halldórsson. Approximating maximum independent sets by excluding subgraphs. In SWAT, pages 11–25. Springer Verlag, 1990.

    Google Scholar 

  4. R. Boppana and M. Halldórsson. Approximating maximum independent sets by excluding subgraphs. BIT, 32:180–196, 1992.

    Google Scholar 

  5. P. Frankl and R. M. Wilson. Intersection theorems with geometric consequences. Combinatorica, 1(4):357–368, 1981.

    Google Scholar 

  6. Torben Hagerup and Christine Rub. A guided tour of Chernoff bounds. Information Processing Letters, 33:305–308, 1989.

    Google Scholar 

  7. Mark Jerrum. Large cliques elude the metropolis process. Random Structures and Algorithms, 3(4):347–360, 1992.

    Google Scholar 

  8. Ludek Kučera. The greedy coloring is a bad probabilistic algorithm. Journal of Algorithms, 12:674–684, 1991.

    Google Scholar 

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Erik M. Schmidt Sven Skyum

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© 1994 Springer-Verlag Berlin Heidelberg

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Peinado, M. (1994). Hard graphs for randomized subgraph exclusion algorithms. In: Schmidt, E.M., Skyum, S. (eds) Algorithm Theory — SWAT '94. SWAT 1994. Lecture Notes in Computer Science, vol 824. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58218-5_26

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  • DOI: https://doi.org/10.1007/3-540-58218-5_26

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58218-2

  • Online ISBN: 978-3-540-48577-3

  • eBook Packages: Springer Book Archive

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