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» Bounds on the metric and partition dimensions of a graph
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FOCS
2005
IEEE
13 years 12 months ago
Metric Embeddings with Relaxed Guarantees
We consider the problem of embedding finite metrics with slack: we seek to produce embeddings with small dimension and distortion while allowing a (small) constant fraction of al...
Ittai Abraham, Yair Bartal, Hubert T.-H. Chan, Ked...
SIAMJO
2008
144views more  SIAMJO 2008»
13 years 6 months ago
Embedded in the Shadow of the Separator
Eigenvectors to the second smallest eigenvalue of the Laplace matrix of a graph, also known as Fiedler vectors, are the basic ingredient in spectral graph partitioning heuristics....
Frank Göring, Christoph Helmberg, Markus Wapp...
WG
2010
Springer
13 years 4 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
CORR
2007
Springer
146views Education» more  CORR 2007»
13 years 6 months ago
Coding for Errors and Erasures in Random Network Coding
Abstract—The problem of error-control in random linear network coding is considered. A “noncoherent” or “channel oblivious” model is assumed where neither transmitter nor...
Ralf Koetter, Frank R. Kschischang
ICC
2008
IEEE
127views Communications» more  ICC 2008»
14 years 21 days ago
On the Devolution of Large-Scale Sensor Networks in the Presence of Random Failures
—In battery-constrained large-scale sensor networks, nodes are prone to random failures due to various reasons, such as energy depletion and hostile environment. Random failures ...
Fei Xing, Wenye Wang