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Optimal augmentation for bipartite componentwise biconnectivity in linear time

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Algorithms and Computation (ISAAC 1996)

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

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Abstract

A graph is componentwise fully biconnected if every connected component either is an isolated vertex or is biconnected. We consider the problem of adding the smallest number of edges to make a bipartite graph componentwise fully biconnected while preserving its bipartiteness. This problem has important applications for protecting sensitive information in cross tabulated tables. This paper presents a linear-time algorithm for the problem.

Research supported in part by NSC Grants 84-2213-E-001-005 and 85-2213-E-001-003.

Research supported in part by NSF Grant CCR-9101385.

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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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Hsu, Ts., Kao, MY. (1996). Optimal augmentation for bipartite componentwise biconnectivity in linear time. 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/BFb0009497

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  • DOI: https://doi.org/10.1007/BFb0009497

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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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