Kernelizing MSO Properties of Trees of Fixed Height, and Some Consequences

Fix an integer h>=1. In the universe of coloured trees of height at most h, we prove that for any graph decision problem defined by an MSO formula with r quantifiers, there exists a set of kernels, each of size bounded by an elementary function of r and the number of colours. This yields two note...

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Bibliographic Details
Main Authors: Jakub Gajarsky, Petr Hlineny
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2015-04-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/748/pdf