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» Metric uniformization and spectral bounds for graphs
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RSA
2010
94views more  RSA 2010»
13 years 3 months ago
Word maps and spectra of random graph lifts
We study here the spectra of random lifts of graphs. Let G be a finite connected graph, and let the infinite tree T be its universal cover space. If λ1 and ρ are the spectral ...
Nati Linial, Doron Puder
CORR
2011
Springer
215views Education» more  CORR 2011»
12 years 9 months ago
Lasserre Hierarchy, Higher Eigenvalues, and Approximation Schemes for Quadratic Integer Programming with PSD Objectives
We present an approximation scheme for optimizing certain Quadratic Integer Programming problems with positive semidefinite objective functions and global linear constraints. Thi...
Venkatesan Guruswami, Ali Kemal Sinop
FOCS
2009
IEEE
14 years 2 days ago
Approximation Algorithms for Multicommodity-Type Problems with Guarantees Independent of the Graph Size
— Linial, London and Rabinovich [16] and Aumann and Rabani [3] proved that the min-cut max-flow ratio for general maximum concurrent flow problems (when there are k commodities...
Ankur Moitra
CORR
2011
Springer
243views Education» more  CORR 2011»
13 years 10 days ago
Localization from Incomplete Noisy Distance Measurements
—We consider the problem of positioning a cloud of points in the Euclidean space Rd , from noisy measurements of a subset of pairwise distances. This task has applications in var...
Adel Javanmard, Andrea Montanari
INFOCOM
2006
IEEE
13 years 11 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