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Patrice Ossona de Mendez, A model theoretical approach to sparsity
Tuesday, June 25, 2019 @ 4:30 PM - 5:30 PM KST
Room B232, IBS (기초과학연구원)
We discuss how the model theoretic notion of first-order transduction allows to define a notion of structural sparsity, and give some example of applications, like existence of low shrub-depth decompositions for tranductions of bounded expansion classes, characterization of transductions of classes with bounded pathwidth, decompositions of graphs with bounded rank-width into cographs.