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NoBend Orthogonal Drawings of Subdivisions of Planar Triconnected Cubic Graphs
Md. Saidur RAHMAN Noritsugu EGI Takao NISHIZEKI
Publication
IEICE TRANSACTIONS on Information and Systems
Vol.E88D
No.1
pp.2330 Publication Date: 2005/01/01
Online ISSN: Print ISSN: 09168532 Type of Manuscript: Special Section PAPER (Special Section on Foundations of Computer Science) Category: Keyword: planar graph, algorithm, graph drawing, orthogonal drawing, bend,
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Summary:
A plane graph is a planar graph with a fixed embedding. In a nobend orthogonal drawing of a plane graph, each vertex is drawn as a point and each edge is drawn as a single horizontal or vertical line segment. A planar graph is said to have a nobend orthogonal drawing if at least one of its plane embeddings has a nobend orthogonal drawing. In this paper we consider a class of planar graphs, called subdivisions of planar triconnected cubic graphs, and give a lineartime algorithm to examine whether such a planar graph G has a nobend orthogonal drawing and to find one if G has.

