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Partitioning Polygons via Graph Augmentation

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Figure

Fig. 1. (left) A binary treethe solid black diagonal is the only selected candidate edge in T with root r
Fig. 2. The 27 configurations of roles for a triangle of an edge e and its children e1 ande2 in T
Fig. 3. (left) A polygon with two holes. (middle) Two edges are used as T, to connectthe boundaries
Fig. 5. Results of our algorithms for a part of Europe. Especially the MinLengthPolysolution (c) nicely reflects the Iberian and Italian peninsulas.
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