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» Graphs with Bounded Induced Distance
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STOC
2009
ACM
155views Algorithms» more  STOC 2009»
14 years 8 months ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger
FOCS
2009
IEEE
14 years 2 months ago
KKL, Kruskal-Katona, and Monotone Nets
We generalize the Kahn-Kalai-Linial (KKL) Theorem to random walks on Cayley and Schreier graphs, making progress on an open problem of Hoory, Linial, and Wigderson. In our general...
Ryan O'Donnell, Karl Wimmer
FOCS
2005
IEEE
14 years 1 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...
PODC
2006
ACM
14 years 1 months ago
Optimal-stretch name-independent compact routing in doubling metrics
We consider the problem of name-independent routing in doubling metrics. A doubling metric is a metric space whose doubling dimension is a constant, where the doubling dimension o...
Goran Konjevod, Andréa W. Richa, Donglin Xi...
INFOCOM
2006
IEEE
14 years 1 months ago
Relay Placement for Higher Order Connectivity in Wireless Sensor Networks
Abstract— Sensors typically use wireless transmitters to communicate with each other. However, sensors may be located in a way that they cannot even form a connected network (e.g...
Abhishek Kashyap, Samir Khuller, Mark A. Shayman