English

A Theory of Spherical Diagrams

Combinatorics 2023-05-31 v6 Computational Geometry

Abstract

We introduce an axiomatic theory of spherical diagrams as a tool to study certain combinatorial properties of polyhedra in R3\mathbb R^3, which are of central interest in the context of Art Gallery problems for polyhedra and other visibility-related problems in discrete and computational geometry.

Keywords

Cite

@article{arxiv.2107.05895,
  title  = {A Theory of Spherical Diagrams},
  author = {Giovanni Viglietta},
  journal= {arXiv preprint arXiv:2107.05895},
  year   = {2023}
}

Comments

24 pages, 21 figures