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Cubic Partial Cubes from Simplicial Arrangements

  • Author(s): Eppstein, David
  • et al.
Creative Commons 'BY' version 4.0 license
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.

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