Accelerated Bend Minimization

Cornelsen, Sabine and Karrenbauer, Andreas (2012) Accelerated Bend Minimization. In: Graph Drawing 19th International Symposium, GD 2011, September 21-23, 2011 , pp. 111-122(Official URL: 10.1007/978-3-642-25878-7_12).

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We present an O(n3/2 ) algorithm for minimizing the number of bends in an orthogonal drawing of a plane graph. It has been posed as a long standing open problem at Graph Drawing 2003, whether the bound of O(n7/4 log n) shown by Garg and Tamassia in 1996 could be improved. To answer this question, we show how to solve the uncapacitated min-cost flow problem on a planar bidirected graph with bounded costs and face sizes in O(n3/2 ) time.

Item Type: Conference Paper
Additional Information: 10.1007/978-3-642-25878-7_12
Classifications: G Algorithms and Complexity > G.210 Bends
P Styles > P.600 Poly-line > P.600.700 Orthogonal

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