Extending Partial Orthogonal Drawings

التفاصيل البيبلوغرافية
العنوان: Extending Partial Orthogonal Drawings
المؤلفون: Angelini, Patrizio, Rutter, Ignaz, P, Sandhya T
سنة النشر: 2020
المجموعة: Computer Science
مصطلحات موضوعية: Computer Science - Discrete Mathematics, Computer Science - Computational Geometry, 05C10, G.2.2
الوصف: We study the planar orthogonal drawing style within the framework of partial representation extension. Let $(G,H,{\Gamma}_H )$ be a partial orthogonal drawing, i.e., G is a graph, $H\subseteq G$ is a subgraph and ${\Gamma}_H$ is a planar orthogonal drawing of H. We show that the existence of an orthogonal drawing ${\Gamma}_G$ of $G$ that extends ${\Gamma}_H$ can be tested in linear time. If such a drawing exists, then there also is one that uses $O(|V(H)|)$ bends per edge. On the other hand, we show that it is NP-complete to find an extension that minimizes the number of bends or has a fixed number of bends per edge.
Comment: Appears in the Proceedings of the 28th International Symposium on Graph Drawing and Network Visualization (GD 2020)
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2008.10280
رقم الأكسشن: edsarx.2008.10280
قاعدة البيانات: arXiv