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ISAAC
2005
Springer

Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends

9 years 3 months ago
Orthogonal Drawings of Series-Parallel Graphs with Minimum Bends
In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edges do not cross except at their common end. A bend is a point where an edge changes its direction. A drawing of G is called an optimal orthogonal drawing if the number of bends is minimum among all orthogonal drawings of G. In this paper we give an algorithm to find an optimal orthogonal drawing of any given series-parallel graph of the maximum degree at most three. Our algorithm takes linear time, while the previously known best algorithm takes cubic time. Furthermore, our algorithm is much simpler than the previous one. We also obtain a best possible upper bound on the number of bends in an optimal drawing.
Xiao Zhou, Takao Nishizeki
Added 27 Jun 2010
Updated 27 Jun 2010
Type Conference
Year 2005
Where ISAAC
Authors Xiao Zhou, Takao Nishizeki
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