English

The convex hull of a regular set of integer vectors is polyhedral and effectively computable

Computational Geometry 2008-12-13 v1 Data Structures and Algorithms Logic in Computer Science

Abstract

Number Decision Diagrams (NDD) provide a natural finite symbolic representation for regular set of integer vectors encoded as strings of digit vectors (least or most significant digit first). The convex hull of the set of vectors represented by a NDD is proved to be an effectively computable convex polyhedron.

Keywords

Cite

@article{arxiv.0812.1951,
  title  = {The convex hull of a regular set of integer vectors is polyhedral and effectively computable},
  author = {Alain Finkel and Jérôme Leroux},
  journal= {arXiv preprint arXiv:0812.1951},
  year   = {2008}
}