Rectangular Drawings of Planar Graphs (Extended Abstract)
Rahman, Md. Saidur and Nishizeki, Takao and Ghosh, Shubhashis (2002) Rectangular Drawings of Planar Graphs (Extended Abstract). In: Graph Drawing 10th International Symposium, GD 2002, August 26-28, 2002, Irvine, CA, USA , pp. 244-255 (Official URL: http://dx.doi.org/10.1007/3-540-36151-0_23).
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A plane graph is a planar graph with a fixed embedding. In a rectangular drawing of a plane graph, each vertex is drawn as a point, each edge is drawn as a horizontal or vertical line segment, and each face is drawn as a rectangle. A planar graph is said to have a rectangular drawing if at least one of its plane embeddings has a rectangular drawing. In this paper we give a linear-time algorithm to examine whether a planar graph G of the maximum degree three has a rectangular drawing or not, and to find a rectangular drawing of G if it exists.
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