Model Checking on Interpretations of Classes of Bounded Local Cliquewidth
Édouard Bonnet, Jan Dreier, Jakub Gajarský, Stephan Kreutzer, Nikolas Mählmann, Pierre Simon, Szymon Torunczyk
Abstract
We present a fixed-parameter tractable algorithm for first-order model checking on interpretations of graph classes with bounded local cliquewidth. Notably, this includes interpretations of planar graphs, and more generally, of classes of bounded genus. To obtain this result we develop a new tool which works in a very general setting of dependent classes and which we believe can be an important ingredient in achieving similar results in the future.
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Install the CLIlune papers fulltext 9e4d9b17-ab6a-47c2-9cba-8383aba62cacCited by top-tier papers7
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Builds on4
- Twin-width I: tractable FO model checkingÉdouard Bonnet, Eun Jung Kim, Stéphan Thomassé, Rémi WatrigantFOCS 2020 · 82 citations
- Twin-width II: small classesÉdouard Bonnet, Colin Geniet, Eun Jung Kim, Stéphan Thomassé et al.SODA 2021 · 61 citations
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