Edges and switches, tunnels and bridges

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Abstract

Edge casing is a well-known method to improve the readability of drawings of non-planar graphs. A cased drawing orders the edges of each edge crossing and interrupts the lower edge in an appropriate neighborhood of the crossing. Certain orders will lead to a more readable drawing than others. We formulate several optimization criteria that try to capture the concept of a "good" cased drawing. Further, we address the algorithmic question of how to turn a given drawing into an optimal cased drawing. For many of the resulting optimization problems, we either find polynomial time algorithms or NP-hardness results. © 2009 Elsevier B.V. All rights reserved.

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Eppstein, D., Van Kreveld, M., Mumford, E., & Speckmann, B. (2009). Edges and switches, tunnels and bridges. In Computational Geometry: Theory and Applications (Vol. 42, pp. 790–802). https://doi.org/10.1016/j.comgeo.2008.05.005

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