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Linear reductions of maximum matching - MaRDI portal

Linear reductions of maximum matching (Q2768405)

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scientific article; zbMATH DE number 1699323
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Linear reductions of maximum matching
scientific article; zbMATH DE number 1699323

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    16 April 2002
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    maximum matching
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    biconnected graph
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    3-regular graph
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    Linear reductions of maximum matching (English)
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    In 1999, \textit{T. C. Biedl, P. Bose, E. D. Demaine}, and \textit{A. Lubiw} [Proceedings of the 10th annual ACM-SIAM symposium on discrete algorithms. Baltimore, MD, USA, January 17-19, 1999. Philadelphia, PA: SIAM, Society for Industrial and Applied Mathematics, 130-139 (1999; Zbl 0938.68063)] showed how to find a perfect matching in a 3-regular biconnected graph of order \(n\) in \(O({\log}^4 n)\) time. In this note, which contains no proofs, the author discusses the question whether this algorithm can be extended to similar types of graphs, such as 3-regular graphs that are not biconnected.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00057].
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