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• W3103264504 abstract "We study straight-line drawings of planar 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 52n segments and at most 2n slopes. We prove that every cubic 3-connected plane graph has a plane drawing with three slopes (and three bends on the outerface). In a companion paper, drawings of non-planar graphs with few slopes are also considered." @default.
• W3103264504 created "2020-11-23" @default.
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• W3103264504 date "2007-10-01" @default.
• W3103264504 modified "2023-10-14" @default.
• W3103264504 title "Drawings of planar graphs with few slopes and segments" @default.
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• W3103264504 doi "https://doi.org/10.1016/j.comgeo.2006.09.002" @default.
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