论文标题

用双重汉密尔顿路径展开矫置矫正器

Unfolding Orthotubes with a Dual Hamiltonian Path

论文作者

Demaine, Erik D., Karntikoon, Kritkorn

论文摘要

矫置管由正交盒(例如,单位立方体)面对面形成路径。 1998年,Biedl等。结果表明,每个孔管都有一个网格展开:沿盒子的边缘切割,使表面展开成无重叠的连接平面形状。我们给出了一种新的算法网格,将矫正管展开,并在矩形面上附着在单个路径中 - 矫正器表面矩形面上的哈密顿路径。

An orthotube consists of orthogonal boxes (e.g., unit cubes) glued face-to-face to form a path. In 1998, Biedl et al. showed that every orthotube has a grid unfolding: a cutting along edges of the boxes so that the surface unfolds into a connected planar shape without overlap. We give a new algorithmic grid unfolding of orthotubes with the additional property that the rectangular faces are attached in a single path -- a Hamiltonian path on the rectangular faces of the orthotube surface.

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