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Matroids and a forest cover problem

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Abstract

A forest cover of a graph is a spanning forest for which each component has at least two nodes. IfK is a subset of nodes, aK-forest cover is a forest cover including exactly one node fromK in each component. We show that the weighted two matroid intersection algorithm determines the maximum costK-forest cover.

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References

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Centro de Matemática e Aplicações Fundamentais (Projecto 6F91).

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Cerdeira, J.O. Matroids and a forest cover problem. Mathematical Programming 66, 403–405 (1994). https://doi.org/10.1007/BF01581157

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  • DOI: https://doi.org/10.1007/BF01581157

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