Strict Confluent Drawing

Publication date

2016

Authors

Eppstein, David
Holten, Danny
Löffler, MaartenISNI 000000039666142X
Nöllenburg, Martin
Speckmann, Bettina
Verbeek, Kevin

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Supervisors

DOI

Document Type

Article
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Abstract

We define strict confluent drawing, a form of confluent drawing in which the existence of an edge is indicated by the presence of a smooth path through a system of arcs and junctions (without crossings), and in which such a path, if it exists, must be unique. We prove that it is NP-complete to determine whether a given graph has a strict confluent drawing but polynomial to determine whether it has an outerplanar strict confluent drawing with a fixed vertex ordering (a drawing within a disk, with the vertices placed in a given order on the boundary).

Keywords

CG, GRAPH, GD

Citation

Eppstein, D, Holten, D, Löffler, M, Nöllenburg, M, Speckmann, B & Verbeek, K 2016, 'Strict Confluent Drawing', Journal of Computational Geometry, vol. 7, no. 1, pp. 22-46. < http://jocg.org/v7n1p2 >