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- W2023271676 abstract "We study straight-line drawings of planar graphs such that each interior face has a prescribed area. It was known that such drawings exist for all planar graphs with maximum degree 3. We show here that such drawings exist for all planar partial 3-trees, i.e., subgraphs of a triangulated planar graph obtained by repeatedly inserting a vertex in one triangle and connecting it to all vertices of the triangle. Moreover, vertices have rational coordinates if the face areas are rational, and we can bound the resolution. We also give some negative results for other graph classes." @default.
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- W2023271676 date "2013-04-01" @default.
- W2023271676 modified "2023-09-27" @default.
- W2023271676 title "Drawing planar 3-trees with given face areas" @default.
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- W2023271676 doi "https://doi.org/10.1016/j.comgeo.2012.09.004" @default.
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