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FOCS
2009
IEEE
14 years 2 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
DATE
2007
IEEE
92views Hardware» more  DATE 2007»
14 years 2 months ago
Random sampling of moment graph: a stochastic Krylov-reduction algorithm
In this paper we introduce a new algorithm for model order reduction in the presence of parameter or process variation. Our analysis is performed using a graph interpretation of t...
Zhenhai Zhu, Joel R. Phillips
FOCS
2002
IEEE
14 years 22 days ago
A Constant-Factor Approximation Algorithm for the Multicommodity
We present the first constant-factor approximation algorithm for network design with multiple commodities and economies of scale. We consider the rent-or-buy problem, a type of m...
Amit Kumar, Anupam Gupta, Tim Roughgarden
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 7 months ago
Electrical Flows, Laplacian Systems, and Faster Approximation of Maximum Flow in Undirected Graphs
We introduce a new approach to computing an approximately maximum s-t flow in a capacitated, undirected graph. This flow is computed by solving a sequence of electrical flow probl...
Paul Christiano, Jonathan A. Kelner, Aleksander Ma...
FOCS
2008
IEEE
14 years 2 months ago
Some Results on Greedy Embeddings in Metric Spaces
Geographic Routing is a family of routing algorithms that uses geographic point locations as addresses for the purposes of routing. Such routing algorithms have proven to be both ...
Ankur Moitra, Tom Leighton