Optimal Augmentation for Bipartite Componentwise Biconnectivity in Linear Time

Computer Science – Data Structures and Algorithms

Scientific paper

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A preliminary version appeared in T. Asano, Y. Igarashi, H. Nagamochi, S. Miyano, and S. Suri, editors, Lecture Notes in Compu

Scientific paper

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

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