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INFOCOM
2011
IEEE
12 years 8 months ago
Approximate distance queries and compact routing in sparse graphs
—An approximate distance query data structure is a compact representation of a graph, and can be queried to approximate shortest paths between any pair of vertices. Any such data...
Rachit Agarwal, Philip Brighten Godfrey, Sariel Ha...
CORR
2012
Springer
228views Education» more  CORR 2012»
12 years 1 months ago
Faster Approximate Distance Queries and Compact Routing in Sparse Graphs
A distance oracle is a compact representation of the shortest distance matrix of a graph. It can be queried to retrieve approximate distances and corresponding paths between any p...
Rachit Agarwal, Brighten Godfrey, Sariel Har-Peled
ICALP
2011
Springer
12 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
CORR
2008
Springer
147views Education» more  CORR 2008»
13 years 5 months ago
C-K-R Partitions of Sparse Graphs
We present fast algorithms for constructing probabilistic embeddings and approximate distance oracles in sparse graphs. The main ingredient is a fast algorithm for sampling the pr...
Manor Mendel, Chaya Schwob
NIPS
2007
13 years 6 months ago
Local Algorithms for Approximate Inference in Minor-Excluded Graphs
We present a new local approximation algorithm for computing MAP and logpartition function for arbitrary exponential family distribution represented by a finite-valued pair-wise ...
Kyomin Jung, Devavrat Shah