A non-aligned drawing of a graph is a drawing where no two vertices are in the same row or column. Auber et al. showed that not all planar graphs have a non-aligned planar straight-line drawing in the n × n-grid. They also showed that such a drawing exists if up to n − 3 edges may have a bend. In this paper, we give algorithms for non-aligned planar drawings that improve on the results by Auber et al. In particular, we give such drawings in an n × n-grid with at most {Formula presented} bends, and we study what grid-size can be achieved if we insist on having straight-line drawings.
CITATION STYLE
Biedl, T., & Pennarun, C. (2016). Non-aligned drawings of planar graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9801 LNCS, pp. 131–143). Springer Verlag. https://doi.org/10.1007/978-3-319-50106-2_11
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