A linear algorithm for optimal orthogonal drawings of triconnected cubic plane graphs

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Abstract

An orthogonal drawing of a plane graph G is a drawing of G in which each edge is drawn as a sequence of alternate horizontal and vertical line segments. In this paper we give a linear-time algorithm to find an orthogonal drawing of a given 3-connected cubic plane graph with the minimum number of bends. The best known algorithm takes time (Formula Presented) for any plane graph of n vertices.

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APA

Rahman, M. S., Nakano, S. I., & Nishizeki, T. (1997). A linear algorithm for optimal orthogonal drawings of triconnected cubic plane graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1353, pp. 99–110). Springer Verlag. https://doi.org/10.1007/3-540-63938-1_54

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