$2\times 2$ monotone grid classes are finitely based

In this note, we prove that all $2 \times 2$ monotone grid classes are finitely based, i.e., defined by a finite collection of minimal forbidden permutations. This follows from a slightly more general result about certain $2 \times 2$ (generalized) grid classes having two monotone cells in the same...

Ausführliche Beschreibung

Bibliographische Detailangaben
Hauptverfasser: Michael Albert, Robert Brignall
Format: Artikel
Sprache:English
Veröffentlicht: Discrete Mathematics & Theoretical Computer Science 2016-02-01
Schriftenreihe:Discrete Mathematics & Theoretical Computer Science
Schlagworte:
Online Zugang:https://dmtcs.episciences.org/1325/pdf