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Towards more precise parallel biconnectivity approximation

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1178))

Abstract

The problem of finding a minimum biconnected spanning subgraph of an undirected graph is NP-hard. This paper, improving a chain of work [1, 10, 3, 4], gives the first NC algorithm for approximating a minimum biconnected subgraph with an approximation factor approaching 3/2. This result matches the performance of the currently best sequential approximation algorithm [7].

This research was supported by Hong Kong RGC Grant 338/065/0027.

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Tetsuo Asano Yoshihide Igarashi Hiroshi Nagamochi Satoru Miyano Subhash Suri

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© 1996 Springer-Verlag Berlin Heidelberg

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Chong, K.W., Lam, T.W. (1996). Towards more precise parallel biconnectivity approximation. In: Asano, T., Igarashi, Y., Nagamochi, H., Miyano, S., Suri, S. (eds) Algorithms and Computation. ISAAC 1996. Lecture Notes in Computer Science, vol 1178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0009498

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  • DOI: https://doi.org/10.1007/BFb0009498

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62048-8

  • Online ISBN: 978-3-540-49633-5

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