Cubic Partial Cubes from Simplicial Arrangements
<|reference_start|>Cubic Partial Cubes from Simplicial Arrangements: 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.<|reference_end|>
@article{eppstein2005cubic,
    title={Cubic Partial Cubes from Simplicial Arrangements},
    author={David Eppstein},
    journal={Electronic J. Combinatorics 13(1, R79):1\^a?"14, Sep 2006},
    year={2005},
    archivePrefix={arXiv},
    eprint={math/0510263},
    primaryClass={math.CO cs.CG math.MG}
}