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• W2570782777 abstract "A commonly studied means of parameterizing graph problems is the deletion distance from triviality [10], which counts vertices that need to be deleted from a graph to place it in some class for which efficient algorithms are known. In the context of graph isomorphism, we define triviality to mean a graph with maximum degree bounded by a constant, as such graph classes admit polynomial-time isomorphism tests. We generalise deletion distance to a measure we call elimination distance to triviality, based on elimination trees or tree-depth decompositions. We establish that graph canonisation, and thus graph isomorphism, is $$mathsf {FPT}$$ when parameterized by elimination distance to bounded degree, generalising results of Bouland et al. [2] on isomorphism parameterized by tree-depth." @default.
• W2570782777 created "2017-01-13" @default.
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• W2570782777 date "2014-01-01" @default.
• W2570782777 modified "2023-09-24" @default.
• W2570782777 title "Graph Isomorphism Parameterized by Elimination Distance to Bounded Degree" @default.
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• W2570782777 doi "https://doi.org/10.1007/978-3-319-13524-3_12" @default.
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