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131
Voted
STACS
2007
Springer
15 years 9 months ago
Hard Metrics from Cayley Graphs of Abelian Groups
: Hard metrics are the class of extremal metrics with respect to embedding into Euclidean spaces: they incur Ω(logn) multiplicative distortion, which is as large as it can possib...
Ilan Newman, Yuri Rabinovich
134
Voted
FOCS
2009
IEEE
15 years 10 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
113
Voted
FOCS
2005
IEEE
15 years 9 months ago
On Non-Approximability for Quadratic Programs
This paper studies the computational complexity of the following type of quadratic programs: given an arbitrary matrix whose diagonal elements are zero, find x ∈ {−1, +1}n th...
Sanjeev Arora, Eli Berger, Elad Hazan, Guy Kindler...
169
Voted
FOCS
2005
IEEE
15 years 9 months ago
Truthful and Near-Optimal Mechanism Design via Linear Programming
We give a general technique to obtain approximation mechanisms that are truthful in expectation. We show that for packing domains, any α-approximation algorithm that also bounds ...
Ron Lavi, Chaitanya Swamy
126
Voted
FOCS
2005
IEEE
15 years 9 months ago
A Characterization of the (natural) Graph Properties Testable with One-Sided Error
The problem of characterizing all the testable graph properties is considered by many to be the most important open problem in the area of property-testing. Our main result in thi...
Noga Alon, Asaf Shapira