Maximum Upward Planar Subgraphs of Embedded Planar Digraphs
Binucci, Carla and Didimo, Walter and Giordano, Francesco (2008) Maximum Upward Planar Subgraphs of Embedded Planar Digraphs. In: Graph Drawing 15th International Symposium, GD 2007, September 24-26, 2007, Sydney, Australia , pp. 195-206 (Official URL: http://dx.doi.org/10.1007/978-3-540-77537-9_20).
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This paper presents an extensive study on the problem of computing maximum upward planar subgraphs of embedded planar digraphs: Complexity results, algorithms, and experiments are presented. Namely: $(i)$ We prove that the addressed problem is NP-Hard; $(ii)$ A fast heuristic and an exponential-time exact algorithm are described; $(iii)$ A wide experimental analysis is performed to show the effectiveness of our techniques.
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