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A d/2 Approximation for Maximum Weight Independent Set in d-Claw Free Graphs

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1851))

Abstract

In this paper we consider the following problem. Given is a d-claw free graph G = (V,E,w) where w: V → R+. Our algorithm finds an independent set A such that w(A*)/w(A)≤ d/2 where A* is an independent that maximizes w(A*). The previous best polynomial time approximation algorithm obtained w(A*)/w(A)≤ 2d/3.

Research supported by NSF grant CCR-9700053,

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References

  1. V. Bafna, B. Narayana and R. Ravi, Non-overlapping local alignments (weighted independent sets of axis parallel rectangles, WADS 1995, Springer-Verlag LNCS 955:506–517, to appear in Disc. Appl. Math.

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  2. B. Chandra and M. M. Halldórsson, Greedy local improvement and weighted packing approximation, SODA 1999.

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  3. C. A. Hurkens and A. Schrijver, One the size of systems of sets every t of which have an SDR, with an application to the worst-case ratio heuristics for packing problems, SIAM J. Discr. Math. 2(1):68–72, Feb. 1989.

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© 2000 Springer-Verlag Berlin Heidelberg

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Berman, P. (2000). A d/2 Approximation for Maximum Weight Independent Set in d-Claw Free Graphs. In: Algorithm Theory - SWAT 2000. SWAT 2000. Lecture Notes in Computer Science, vol 1851. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44985-X_19

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  • DOI: https://doi.org/10.1007/3-540-44985-X_19

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67690-4

  • Online ISBN: 978-3-540-44985-0

  • eBook Packages: Springer Book Archive

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