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Cubic Partial Cubes from Simplicial Arrangements

2006/09/07 by David Eppstein · 2 citations
Engineering · Computer Science · Mathematics · #graph theory and CDMA systems #Advanced Graph Theory Research #Finite Group Theory Research #Mathematics #Combinatorics #Cube (algebra) #Simplicial complex #Construct (python library) #Plane (geometry) #Real projective plane #Projective plane #Projective test #Pure mathematics #Projective space #Geometry #Computer science #Complex projective space

paper · pdf · doi:10.37236/1105

openalex publication_date 2006/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15

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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