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https://doi.org/10.1007/978-94-009-8733-3 of Lazard et al. [Theor. Comput. Sci. . (2019), 88–94] and, for any given constant ., we provide a 2-tree which does not admit a planar straight-line drawing with a ratio bounded by .. When the ratio is restricted to adjacent edges only, we prove that any 2-tree admits a planar straight-line drawin
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https://doi.org/10.1007/978-981-15-7401-6ealizing . by a polygon can be seen as that of constructing a straight-line drawing of a graph with prescribed angles at vertices, and hence, it is a special case of the well studied problem of constructing an .. In 2D, we characterize sequences . for which every generic polygon . realizing . has at
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https://doi.org/10.1007/978-1-349-07932-2that no two edges in the same stack cross and no two edges in the same queue nest. In 1992, Heath and Rosenberg conjectured that every planar graph admits a mixed 1-stack 1-queue layout. Recently, Pupyrev disproved this conjectured by demonstrating a planar partial 3-tree that does not admit a 1-sta
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https://doi.org/10.1007/978-1-349-22259-9nt by a separation pair. We investigate the existence and the computation time of schematic representations of the structure of such a graph where the main component is drawn as a disk, the vertices that take part in separation pairs are points on the boundary of the disk, and the small components a
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Hubert Österle,Rainer Riehm,Petra Voglerene transfer have occurred. Formally, a tree-based network . consists of a phylogenetic tree . (a rooted, binary, leaf-labeled tree) and so-called reticulation edges that span between edges of .. The network . is typically visualized by drawing . downward and planar and reticulation edges with one o
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https://doi.org/10.1007/978-3-031-45147-8ia which have not yet been explicitly optimized in such fashion (e.g., vertex resolution, angular resolution, aspect ratio). We provide quantitative and qualitative evidence of the effectiveness of . with experimental data and a functional prototype: ..
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