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Drawing Graphs with Vertices at Specified Positions and Crossings at Large Angles.

, , , , and . Proc. Workshop Algorithms Comput. (WALCOM'12), volume 7157 of Lecture Notes in Computer Science, page 186--197. Springer-Verlag, (2012)
DOI: 10.1007/978-3-642-28076-4_19

Abstract

Point-set embeddings and large-angle crossings are two areas of graph drawing that independently have received a lot of attentionin the past few years. We consider problems in the intersection of these two areas. Given the point-set-embedding scenario, we are interested in how much we gain in terms of computational complexity, curve complexity, and generality if we allow large-angle crossings as compared to the planar case. We investigate two drawing styles where only bends or both bends and edges must be drawn on an underlying grid. We present results for drawings with one, two, and three bends per edge.

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