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» On 2-Detour Subgraphs of the Hypercube
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JGT
2008
88views more  JGT 2008»
13 years 4 months ago
On k-detour subgraphs of hypercubes
A spanning subgraph G of a graph H is a k-detour subgraph of H if for each pair of vertices x, y V (H), the distance, distG(x, y), between x and y in G exceeds that in H by at mo...
Nana Arizumi, Peter Hamburger, Alexandr V. Kostoch...
EJC
1998
13 years 4 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
JGT
2006
81views more  JGT 2006»
13 years 4 months ago
A Ramsey-type result for the hypercube
We prove that for every fixed k and 5 and for sufficiently large n, every edge coloring of the hypercube Qn with k colors contains a monochromatic cycle of length 2 . This answer...
Noga Alon, Rados Radoicic, Benny Sudakov, Jan Vond...
IWOCA
2009
Springer
193views Algorithms» more  IWOCA 2009»
13 years 11 months ago
Gray Code Compression
An n-bit (cyclic) Gray code is a (cyclic) sequence of all n-bit strings such that consecutive strings differ in a single bit. We describe an algorithm which for every positive int...
Darko Dimitrov, Tomás Dvorák, Petr G...