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» On 2-Detour Subgraphs of the Hypercube
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GC
2008
Springer
13 years 4 months ago
On 2-Detour Subgraphs of the Hypercube
A spanning subgraph H of a graph G is a 2-detour subgraph of G if for each x, y V (G), dH (x, y) dG(x, y) + 2. We prove a conjecture of Erdos, Hamburger, Pippert, and Weakley by ...
József Balogh, Alexandr V. Kostochka
DAM
1998
92views more  DAM 1998»
13 years 4 months ago
Embedding ladders and caterpillars into the hypercube
We present embeddings of generalized ladders as subgraphs into the hypercube. By embedding caterpillars into ladders, we obtain embeddings of caterpillars into the hypercube. In t...
Sergei L. Bezrukov, Burkhard Monien, Walter Unger,...
DM
2008
92views more  DM 2008»
13 years 4 months ago
Partial cubes: structures, characterizations, and constructions
Partial cubes are isometric subgraphs of hypercubes. Structures on a graph defined by means of semicubes, and Djokovi
Sergei Ovchinnikov
DM
2006
132views more  DM 2006»
13 years 4 months ago
Recursive fault-tolerance of Fibonacci cube in hypercubes
Fibonacci cube is a subgraph of hypercube induced on vertices without two consecutive 1's. If we remove from Fibonacci cube the vertices with 1 both in the first and the last...
Petr Gregor
ARSCOM
2004
91views more  ARSCOM 2004»
13 years 4 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