Orthogonal cartograms with few corners per face

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Abstract

We give an algorithm to create orthogonal drawings of 3-connected 3-regular planar graphs such that each interior face of the graph is drawn with a prescribed area. This algorithm produces a drawing with at most 12 corners per face and 4 bends per edge, which improves the previous known result of 34 corners per face. © 2011 Springer-Verlag.

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Biedl, T., & Ruiz Velázquez, L. E. (2011). Orthogonal cartograms with few corners per face. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6844 LNCS, pp. 98–109). https://doi.org/10.1007/978-3-642-22300-6_9

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