All cubic partial cubes (i.e., cubic isometric subgraphs of hypercubes) up to 30 vertices and all edge-critical partial cubes up to 14 vertices are presented. The lists of graphs ...
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...
A hierarchy of classes of graphs is proposed which includes hypercubes, acyclic cubical complexes, median graphs, almost median graphs, premedian graphs and partial cubes. Structu...