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math.CO2015
Grid Intersection Graphs and Order Dimension
Steven Chaplick, Stefan Felsner, Udo Hoffmann +1
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…
math.CO2015
Upper and Lower Bounds on Long Dual-Paths in Line Arrangements
Udo Hoffmann, Linda Kleist, Tillmann Miltzow
Given a line arrangement with lines, we show that there exists a path of length in the dual graph of formed by its faces. This bound is tight u…