17 search results - page 2 / 4 » On k-detour subgraphs of hypercubes |
JGT
2008
13 years 5 months ago
2008
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...
APPML
2006
13 years 5 months ago
2006
JGT
2006
13 years 5 months ago
2006
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...
GC
2007
Springer
13 years 5 months ago
2007
Springer
Let Qn be a hypercube of dimension n, that is, a graph whose vertices are binary n-tuples and two vertices are adjacent iff the corresponding n-tuples differ in exactly one posit...
DM
2007
13 years 5 months ago
2007
Given a set P of at most 2n − 4 prescribed edges (n ≥ 5) and vertices u and v whose mutual distance is odd, the n-dimensional hypercube Qn contains a hamiltonian path between ...