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Strongly-Connected Outerplanar Graphs with Proper Touching Triangle Representations they share a partial side of positive length. Each triangle in . represents a vertex, while each pair of adjacent triangles represents an edge in the planar graph. We consider the problem of determining when a proper touching triangle representation exists for a ., which is biconnected and after th
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A Duality Transform for Constructing Small Grid Embeddings of 3D Polytopesrid embeddings with small coordinates and develop novel techniques based on Colin de Verdière matrices and the Maxwell–Cremona lifting method..As our main result we show that every truncated 3d polytope with . vertices can be realized on a grid of size polynomial in .. Moreover, for a class . of sim
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Yoshihiko Otani,Mohamed El-Hodirihe edges are stored and organized in .. At each vertex, all edges to predecessors in the linear layout are removed and all edges to successors are inserted. There are intriguing relationships between well-known data structures and classes of planar graphs: The stack graphs are the outerplanar graphs
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