Grid Intersection Graphs and Order Dimension

Steven Chaplick, Stefan Felsner, U. (Udo) Hoffmann*, Veit Wiechert

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


We study subclasses of grid intersection graphs from the perspective of order dimension. We show that partial orders of height two whose comparability graph is a grid intersection graph have order dimension at most four. Starting from this observation we provide a comprehensive study of classes of graphs between grid intersection graphs and bipartite permutation graphs and the containment relation on these classes. Order dimension plays a role in many arguments.
Original languageEnglish
Pages (from-to)363-391
Issue number2
Publication statusPublished - 2018
Externally publishedYes


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