Geodesic
Cubic partial cubes from simplicial arrangements
The electronic journal of combinatorics, Tome 13 (2006)

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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.
DOI : 10.37236/1105
Classification : 05C78, 52C30
Mots-clés : projective plane 
David Eppstein. Cubic partial cubes from simplicial arrangements. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1105
@article{10_37236_1105,
     author = {David Eppstein},
     title = {Cubic partial cubes from simplicial arrangements},
     journal = {The electronic journal of combinatorics},
     year = {2006},
     volume = {13},
     doi = {10.37236/1105},
     zbl = {1115.05080},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1105/}
}
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