严格合流图

IF 0.4 Q4 MATHEMATICS Journal of Computational Geometry Pub Date : 2013-08-30 DOI:10.20382/jocg.v7i1a2

D. Eppstein, Danny Holten, M. Löffler, M. Nöllenburg, B. Speckmann, Kevin Verbeek

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引用次数: 26

摘要

我们定义了严格的合流图，一种合流图的形式，在这种合流图中，边的存在是通过圆弧和结点系统(没有交叉)的光滑路径的存在来表示的，并且这样的路径，如果存在，必须是唯一的。我们证明了判定给定图是否有严格合流图是np完全的，但判定图是否有固定顶点排序的外平面严格合流图(在圆盘内的图，顶点在边界上按给定顺序排列)是多项式的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Strict confluent drawing

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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