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On the two-dimensional orthogonal drawing of series-parallel graphs
Authors:Satoshi Tayu  Kumiko Nomura  Shuichi Ueno
Affiliation:Department of Communications and Integrated Systems, Tokyo Institute of Technology, Tokyo, 152-8550-S3-57, Japan
Abstract:
It has been known that every planar 4-graph has a 2-bend 2-D orthogonal drawing, with the only exception being the octahedron, every planar 3-graph has a 1-bend 2-D orthogonal drawing with the only exception being K4, and every outerplanar 3-graph with no triangles has a 0-bend 2-D orthogonal drawing. We show in this paper that every series-parallel 4-graph has a 1-bend 2-D orthogonal drawing.
Keywords:2-D orthogonal drawing   Bend   k-graph   Series-parallel graph
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