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    Chapter and Conference Paper

    An FPT 2-Approximation for Tree-cut Decomposition

    The tree-cut width of a graph is a graph parameter defined by Wollan [J. Comb. Theory, Ser. B, 110:47–66, 2015] with the help of tree-cut decompositions. In certain cases, tree-cut width appears to be more adequa...

    Eunjung Kim, Sang-il Oum, Christophe Paul in Approximation and Online Algorithms (2015)

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    Chapter and Conference Paper

    Unifying Duality Theorems for Width Parameters in Graphs and Matroids (Extended Abstract)

    We prove a general duality theorem for width parameters in combinatorial structures such as graphs and matroids. It implies the classical such theorems for path-width, tree-width, branch-width and rank-width, ...

    Reinhard Diestel, Sang-il Oum in Graph-Theoretic Concepts in Computer Science (2014)