Definable decompositions for graphs of bounded linear cliquewidth

We prove that for every positive integer k, there exists an MSO_1-transduction that given a graph of linear cliquewidth at most k outputs, nondeterministically, some cliquewidth decomposition of the graph of width bounded by a function of k. A direct corollary of this result is the equivalence of th...

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Bibliographic Details
Main Authors: Mikołaj Bojańczyk, Martin Grohe, Michał Pilipczuk
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2021-01-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/5295/pdf