Ferrers dimension of grid intersection graphs

Steven Chaplick, Pavol Hell, Yota Otachi*, Toshiki Saitoh, Ryuhei Uehara

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


We investigate the Ferrers dimension of classes of grid intersection graphs and show properties and characterizations. In particular, we show that (1) the grid intersection graphs form a proper subclass of the class of bipartite graphs of Ferrers dimension 4, (2) segment-ray graphs have a forbidden submatrix characterization, and (3) a bipartite graph is a unit grid intersection graph if and only if it is the intersection of two bipartite permutation graphs. (C) 2015 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)130-135
JournalDiscrete Applied Mathematics
Publication statusPublished - 2017
Externally publishedYes

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