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Graphs of unbounded linear cliquewidth.

Prelegent(ci)
Mikołaj Bojańczyk
Afiliacja
University of Warsaw
Język referatu
angielski
Termin
15 stycznia 2025 14:15
Pokój
p. 5440
Tytuł w języku polskim
Graphs of unbounded linear cliquewidth.
Seminarium
Seminarium „Teoria automatów”

We show that for every class C of graphs, one of the following holds:
1. The class has bounded linear cliquewidth; or
2. There is a surjective MSO transduction from C to the class of all trees.
This is a dense counterpart of a similar result for sparse graphs, where it was previously known that if a class of graphs has unbounded treewidth, then it contains all trees as graph minors.

(Joint work with Pierre Ohlmann)