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Drawing Partially Embedded and Simultaneously Planar Graphsar drawing of a subgraph to a planar drawing of the whole graph—and the . (SEFE) problem—to find planar drawings of two graphs that coincide on shared vertices and edges. In both cases we show that if the required planar drawings exist, then there are planar drawings with a linear number of bends pe
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Drawing Simultaneously Embedded Graphs with Few Bends graphs, there exists a corresponding drawing realizing this embedding such that common edges are drawn as straight-line segments and each exclusive edge has a constant number of bends. If the common graph is biconnected and induced, a straight-line drawing exists. This yields the first efficient te
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Simultaneous Embeddability of Two Partitionsa point in the plane and each block of either of the two partitions is mapped to a region that contains exactly those points that belong to the elements in the block and that is bounded by a simple closed curve. We establish three main classes of simultaneous embeddability (., ., and . embeddability
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Luatodonotes: Boundary Labeling for Annotations in Textsorresponding positions in the text with arrows (so-called .). Problems of this type have been studied under the name .. We consider various leader types (straight-line, rectilinear, and Bézier) and modify existing algorithms to allow for annotations of varying height. We have implemented our algorit
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A Coloring Algorithm for Disambiguating Graph and Map Drawingse edges, because of the multiple visual paths resulted from the crossings that slow down eye movements. In this paper we propose an algorithm that disambiguates the edges with automatic selection of distinctive colors. Our proposed algorithm computes a near optimal color assignment of a dual collisi
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