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Julio J. González,Enrique Mandado 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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Microelectronics Packaging Handbook planar graphs. We connect this problem to the theory of permutation patterns, where another open problem concerns the size of ., permutations that contain all patterns of a given size. We generalize superpatterns to classes of permutations determined by forbidden patterns, and we construct superpat

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https://doi.org/10.1007/978-1-4419-9377-9 them..The drawback of the characterization of SLTRs is that we are not able to effectively check whether a given graph admits a flat angle assignment that fulfills the conditions. Hence it is still open to decide whether the recognition of graphs that admit straight line triangle representation is

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https://doi.org/10.1007/978-3-319-22545-6es. Firstly, planar .-trees admit 1-bend box-orthogonal drawings with boxes of size ., which generalizes a result of Tayu, Nomura, and Ueno. Secondly, they admit 1-bend polyline drawings with . slopes, which is significantly smaller than the . upper bound established by Keszegh, Pach, and Pálv?lgyi

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