# David Eppstein - Publications

• Upright-quad drawing of $$st$$-planar learning spaces.
D. Eppstein.
arXiv:cs.CG/0607094.
14th Int. Symp. Graph Drawing, Karlsruhe, Germany, 2006.
Springer, Lecture Notes in Comp. Sci. 4372, 2007, pp. 282–293.
J. Graph Algorithms and Applications 12 (1): 51–72, 2008 (special issue for GD'06).

We consider graph drawing algorithms for learning spaces, a type of $$st$$-oriented partial cube derived from antimatroids and used to model states of knowledge of students. We show how to draw any $$st$$-planar learning space so all internal faces are convex quadrilaterals with the bottom side horizontal and the left side vertical, with one minimal and one maximal vertex. Conversely, every such drawing represents an $$st$$-planar learning space. We also describe connections between these graphs and arrangements of translates of a quadrant.

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