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» On 2-Detour Subgraphs of the Hypercube
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JGT
2008
88views more  JGT 2008»
15 years 1 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
15 years 1 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
97
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APPML
2006
86views more  APPML 2006»
15 years 1 months ago
A theorem on Wiener-type invariants for isometric subgraphs of hypercubes
Sandi Klavzar, Ivan Gutman
JGT
2006
81views more  JGT 2006»
15 years 1 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»
15 years 8 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...