$2\times 2$ 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...

Full description

Bibliographic Details
Main Authors: Michael Albert, Robert Brignall
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2016-02-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/1325/pdf