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Obstructions and Recognition of Graphs with Linear Rankwidth 1

Speaker(s)
Andrzej Proskurowski
Affiliation
University of Oregon, Eugene
Date
May 30, 2014, 2:15 p.m.
Room
room 5820
Seminar
Seminarium badawcze Zakładu Logiki: Wnioskowania aproksymacyjne w eksploracji danych

Using a split-decomposition algorithm, we decide in linear time the membership in the class of graphs with linear rank-width at most 1 or
exhibit an induced subgraph which belongs to the set of minimal forbidden induced subgraphs for the class. From the complete set of such obstructions, we derive both the vertex-minor and pivot-minor obstructions for the class.