多面体复合物的局部有限补全

IF 0.6 3区数学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Discrete & Computational Geometry Pub Date : 2024-02-03 DOI:10.1007/s00454-024-00629-x

Desmond Coles, Netanel Friedenberg

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引用次数: 0

摘要

我们开发了一种细分多面体复合体的方法，这种方法限制了可能的衰退锥，并允许我们使用固定类别的多面体。我们利用这些结果构建了有理多面体复数的局部有限完形（其衰退锥位于一个固定的扇形中）、多面体复数的局部有限多面体完形，以及多面体复数的局部有限多面体完形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Locally Finite Completions of Polyhedral Complexes

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Locally Finite Completions of Polyhedral Complexes

We develop a method for subdividing polyhedral complexes in a way that restricts the possible recession cones and allows one to work with a fixed class of polyhedron. We use these results to construct locally finite completions of rational polyhedral complexes whose recession cones lie in a fixed fan, locally finite polytopal completions of polytopal complexes, and locally finite zonotopal completions of zonotopal complexes.

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来源期刊

Discrete & Computational Geometry 数学-计算机：理论方法

CiteScore

1.80

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： Discrete & Computational Geometry (DCG) is an international journal of mathematics and computer science, covering a broad range of topics in which geometry plays a fundamental role. It publishes papers on such topics as configurations and arrangements, spatial subdivision, packing, covering, and tiling, geometric complexity, polytopes, point location, geometric probability, geometric range searching, combinatorial and computational topology, probabilistic techniques in computational geometry, geometric graphs, geometry of numbers, and motion planning.