The quality ratio of RAC drawings and planar drawings of planar graphs

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Abstract

We study how much better a right-angled crossing (RAC) drawing of a planar graph can be than any planar drawing of the same planar graph. We analyze the area requirement, the edge-length ratio, and the angular resolution. For the first two measures, a RAC drawing can be arbitrarily much better, whereas for the third measure a RAC drawing can be 2.75 times as good. © 2011 Springer-Verlag.

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Van Kreveld, M. (2011). The quality ratio of RAC drawings and planar drawings of planar graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6502 LNCS, pp. 371–376). https://doi.org/10.1007/978-3-642-18469-7_34

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