Convex drawings of graphs with non-convex boundary

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Abstract

In this paper, we study a new problem of finding a convex drawing of graphs with a non-convex boundary. It is proved that every triconnected plane graph whose boundary is fixed with a star-shaped polygon admits a drawing in which every inner facial cycle is drawn as a convex polygon. Such a drawing, called an inner-convex drawing, can be obtained in linear time. © Springer-Verlag Berlin Heidelberg 2006.

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APA

Hong, S. H., & Nagamochi, H. (2006). Convex drawings of graphs with non-convex boundary. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4271 LNCS, pp. 113–124). Springer Verlag. https://doi.org/10.1007/11917496_11

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