Title
Ferrers dimension of grid intersection graphs
Abstract
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.
Year
DOI
Venue
2017
10.1016/j.dam.2015.05.035
Discrete Applied Mathematics
Keywords
Field
DocType
Ferrers dimension,Boxicity,Segment-ray graph,Unit grid intersection graph
Permutation graph,Discrete mathematics,Block graph,Combinatorics,Indifference graph,Chordal graph,Intersection graph,Pathwidth,1-planar graph,Mathematics,Trapezoid graph
Journal
Volume
ISSN
Citations 
216
0166-218X
1
PageRank 
References 
Authors
0.36
21
5
Name
Order
Citations
PageRank
steven chaplick17616.91
Pavol Hell22638288.75
Yota Otachi316137.16
Toshiki Saitoh48714.95
Ryuhei Uehara552875.38