The Utility of Untangling
Copyright policy )The Utility of Untangling
In this note we show how techniques developed for untangling planar graphs by Bose et al. [Discrete & Computational Geometry 42(4): 570-585 (2009)] and Goaoc et al. [Discrete & Computational Geometry 42(4): 542-569 (2009)] imply new results about some recent graph drawing models. These include column planarity, universal point subsets, and partial simultaneous geometric embeddings (with or without mappings). Some of these results answer open problems posed in previous papers.
Computational Geometry (cs.CG), FOS: Computer and information sciences, Graph representations (geometric and intersection representations, etc.), 68R10, Planar graphs; geometric and topological aspects of graph theory, crossings, Graph algorithms (graph-theoretic aspects), untangling, geometric graphs, FOS: Mathematics, Computer Science - Computational Geometry, Mathematics - Combinatorics, Combinatorics (math.CO)
Computational Geometry (cs.CG), FOS: Computer and information sciences, Graph representations (geometric and intersection representations, etc.), 68R10, Planar graphs; geometric and topological aspects of graph theory, crossings, Graph algorithms (graph-theoretic aspects), untangling, geometric graphs, FOS: Mathematics, Computer Science - Computational Geometry, Mathematics - Combinatorics, Combinatorics (math.CO)
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