Extending Partial Orthogonal Drawings

08/24/2020

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by   Patrizio Angelini, et al.

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We study the planar orthogonal drawing style within the framework of partial representation extension. Let (G,H,Γ_H ) be a partial orthogonal drawing, i.e., G is a graph, H⊆ G is a subgraph and Γ_H is a planar orthogonal drawing of H. We show that the existence of an orthogonal drawing Γ_G of G that extends Γ_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.