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Linear-time recognition of bipartite graphs plus two edges - MaRDI portal

Linear-time recognition of bipartite graphs plus two edges (Q1868840)

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scientific article; zbMATH DE number 1901892
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Linear-time recognition of bipartite graphs plus two edges
scientific article; zbMATH DE number 1901892

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    Linear-time recognition of bipartite graphs plus two edges (English)
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    28 April 2003
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    This paper marks a second step towards a fixed parameter algorithm for MAX CUT. The first step was done by \textit{L. Cai} and \textit{B. Schieber} [Discrete Appl. Math. 73, 27-34 (1997; Zbl 0867.05066)] who proved that bipartite graphs plus one edge can be recognized in linear time. Several edge deletion problems like feed-back arc set are fixed parameter tractable due to the general Robertson-Seymour theory. This does not apply here since bipartite graphs are not closed under edge contraction.
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    graph algorithm
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    depth first search
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    parametric complexity
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    recognizing graph properties
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    max cut
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    linear-time algorithm
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