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cs.LO2023
First-Order Model Checking on Monadically Stable Graph Classes
Jan Dreier, Ioannis Eleftheriadis, Nikolas Mählmann +3
A graph class is called monadically stable if one cannot interpret, in first-order logic, arbitrary large linear orders in colored graphs from . We prove…
cs.LO2023★ 2 cited
First-Order Model Checking on Structurally Sparse Graph Classes
Jan Dreier, Nikolas Mählmann, Sebastian Siebertz
A class of graphs is structurally nowhere dense if it can be constructed from a nowhere dense class by a first-order transduction. Structurally nowhere dense classes vastly general…