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arXiv · 1308.6824

Strict Confluent Drawing

David Eppstein·Danny Holten·Maarten Löffler·Martin Nöllenburg·Bettina Speckmann·Kevin Verbeek
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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).

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David Eppstein, Danny Holten, Maarten Löffler, Martin Nöllenburg, Bettina Speckmann, Kevin Verbeek. 2013-08-30. Strict Confluent Drawing. https://doi.org/10.20382/jocg.v7i1a2

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