Cubic Partial Cubes from Simplicial Arrangements

Details Cubic Partial Cubes from Simplicial Arrangements Cubic Partial Cubes from Simplicial Arrangements

2005-10-12

arxiv.org/abs/math/0510263v1

Electronic J. Combinatorics 13(1, R79):1\^a?"14, Sep 2006

Mathematics

Combinatorics

11 pages, 10 figures

Scientific paper

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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