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Finding odd cycle transversals. (English) Zbl 1052.05061
Summary: We present an \(O(mn)\) algorithm to determine whether a graph \(G\) with \(m\) edges and \(n\) vertices has an odd cycle transversal of order at most \(k\), for any fixed \(k\). We also obtain an algorithm that determines, in the same time, whether a graph has a half integral packing of odd cycles of weight \(k\).

MSC:
05C70 Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.)
05C38 Paths and cycles
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