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» Tribes of Cubic Partial Cubes
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DMTCS
2007
69views Mathematics» more  DMTCS 2007»
13 years 6 months ago
Tribes of Cubic Partial Cubes
Sandi Klavzar, Sergey V. Shpectorov
ARSCOM
2004
91views more  ARSCOM 2004»
13 years 5 months ago
Edge-critical isometric subgraphs of hypercubes
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 ...
Sandi Klavzar, Alenka Lipovec
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 6 months ago
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...
David Eppstein
EJC
1998
13 years 5 months ago
A Convexity Lemma and Expansion Procedures for Bipartite Graphs
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...
Wilfried Imrich, Sandi Klavzar