TY - JOUR
T1 - Ferrers dimension of grid intersection graphs
AU - Chaplick, Steven
AU - Hell, Pavol
AU - Otachi, Yota
AU - Saitoh, Toshiki
AU - Uehara, Ryuhei
N1 - DBLP's bibliographic metadata records provided through http://dblp.org/search/publ/api are distributed under a Creative Commons CC0 1.0 Universal Public Domain Dedication. Although the bibliographic metadata records are provided consistent with CC0 1.0 Dedication, the content described by the metadata records is not. Content may be subject to copyright, rights of privacy, rights of publicity and other restrictions.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
U2 - 10.1016/J.DAM.2015.05.035
DO - 10.1016/J.DAM.2015.05.035
M3 - Article
SN - 0166-218X
VL - 216
SP - 130
EP - 135
JO - Discrete Applied Mathematics
JF - Discrete Applied Mathematics
ER -