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Feedback Vertex Set

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Approximation Algorithms
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Abstract

In this chapter we will use the technique of layering, introduced in Chapter 2, to obtain a factor 2 approximation algorithm for the following problem. Recall that the idea behind layering was to decompose the given weight function into convenient functions on a nested sequence of subgraphs of G.

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Notes

  1. V. Bafna, P. Berman, and T. Fujito. Constant ratio approximations of the weighted feedback vertex set problem for undirected graphs. In Algorithms and Computation, 6th International Symposium, ISAAC, volume 1004 of Lecture Notes in Computer Science, pages 142–151. Springer-Verlag, Berlin, 1995.

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  2. A. Becker and D. Geiger. Approximation algorithms for the loop cutset problem. In Proc. 10th Conference on Uncertainty in Artificial Intelligence, pages 60–68, 1994.

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  3. F. Chudak, M.X. Goemans, D. Hochbaum, and D.P. Williamson. A primal-dual interpretation of two 2-approximation algorithms for the feedback vertex set problem in undirected graphs. Operations Research Letters, 22: 111–118, 1998.

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© 2003 Springer-Verlag Berlin Heidelberg

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Vazirani, V.V. (2003). Feedback Vertex Set. In: Approximation Algorithms. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04565-7_6

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  • DOI: https://doi.org/10.1007/978-3-662-04565-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-08469-0

  • Online ISBN: 978-3-662-04565-7

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