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» Tribes of Cubic Partial Cubes
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68
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DMTCS
2007
69views Mathematics» more  DMTCS 2007»
14 years 10 months ago
Tribes of Cubic Partial Cubes
Sandi Klavzar, Sergey V. Shpectorov
94
Voted
ARSCOM
2004
91views more  ARSCOM 2004»
14 years 10 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
80
Voted
COMBINATORICS
2006
124views more  COMBINATORICS 2006»
14 years 10 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
14 years 9 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