We study straight-line drawings of graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-trees, and planar 3-trees. We prove that every 3-connected plane graph on n vertices has a plane drawing with at most 5n/2 segments and at most 2n slopes, and that every cubic 3-connected plane graph has a plane drawing with three slopes (and three bends on the outerface). Drawings of non-planar graphs with few slopes are also considered. For example, it is proved that graphs of bounded degree and bounded treewidth have drawings with script O sign(log n) slopes. © Springer-Verlag Berlin Heidelberg 2004.
CITATION STYLE
Dujmović, V., Suderman, M., & Wood, D. R. (2004). Really straight graph drawings. In Lecture Notes in Computer Science (Vol. 3383, pp. 122–132). https://doi.org/10.1007/978-3-540-31843-9_14
Mendeley helps you to discover research relevant for your work.