English

Cubic Partial Cubes from Simplicial Arrangements

Combinatorics 2007-06-13 v1 Computational Geometry Metric Geometry

Abstract

We show how to construct a cubic partial cube from any simplicial arrangement of lines or pseudolines in the projective plane. As a consequence, we find nine new infinite families of cubic partial cubes as well as many sporadic examples.

Keywords

Cite

@article{arxiv.math/0510263,
  title  = {Cubic Partial Cubes from Simplicial Arrangements},
  author = {David Eppstein},
  journal= {arXiv preprint arXiv:math/0510263},
  year   = {2007}
}

Comments

11 pages, 10 figures