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» A distance-labelling problem for hypercubes
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GC
2007
Springer
13 years 9 months ago
Rainbows in the Hypercube
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...
Maria Axenovich, Heiko Harborth, Arnfried Kemnitz,...
NETWORKS
2008
13 years 9 months ago
Decontamination of hypercubes by mobile agents
In this paper we consider the decontamination problem in a hypercube network of size n. The nodes of the network are assumed to be contaminated and they have to be decontaminated ...
Paola Flocchini, Miao Jun Huang, Flaminia L. Lucci...
DM
2008
58views more  DM 2008»
13 years 10 months ago
The vertex isoperimetric problem for the powers of the diamond graph
We introduce a new graph for all whose cartesian powers the vertex isoperimetric problem has nested solutions. This is the fourth kind of graphs with this property besides the wel...
Sergei L. Bezrukov, Miquel Rius, Oriol Serra
DM
2007
100views more  DM 2007»
13 years 9 months ago
Hamiltonian paths with prescribed edges in hypercubes
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 ...
Tomás Dvorák, Petr Gregor
CCCG
2009
13 years 11 months ago
Clarkson's Algorithm for Violator Spaces
Clarkson's algorithm is a two-staged randomized algorithm for solving linear programs, but it can also be applied to the more general LP-type problems which comprise a number...
Yves Brise, Bernd Gärtner