Cubic Partial Cubes from Simplicial Arrangements

Published 12 Oct 2005 in math.CO, cs.CG, and math.MG | (0510263v1)

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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