An orthogonal drawing of a plane graph G is a drawing of G with the given planar embedding in which each vertex is mapped to 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. Observe that only a planar graph with the maximum degree four or less has an orthogonal drawing. The best known algorithm to find an orthogonal drawing runs in time O(n7\4√log n) for any plane graph with n vertices. In this paper we give a linear-time algorithm to find an orthogonal drawing of a given biconnected cubic plane graph with the minimum number of bends.
CITATION STYLE
Nakano, S. I., & Yoshikawa, M. (2001). A linear-time algorithm for bend-optimal orthogonal drawings of biconnected cubic plane graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1984, pp. 296–307). Springer Verlag. https://doi.org/10.1007/3-540-44541-2_28
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