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FOCS
2008
IEEE
15 years 4 months ago
Dynamic Connectivity: Connecting to Networks and Geometry
Dynamic connectivity is a well-studied problem, but so far the most compelling progress has been confined to the edge-update model: maintain an understanding of connectivity in a...
Timothy M. Chan, Mihai Patrascu, Liam Roditty
FOCS
2008
IEEE
15 years 4 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...
FOCS
2008
IEEE
14 years 10 months ago
Minimizing Movement in Mobile Facility Location Problems
In the mobile facility location problem, which is a variant of the classical Uncapacitated Facility Location and kMedian problems, each facility and client is assigned to a start ...
Zachary Friggstad, Mohammad R. Salavatipour
FOCS
2008
IEEE
15 years 4 months ago
Algorithms for Single-Source Vertex Connectivity
In the Survivable Network Design Problem (SNDP) the goal is to find a minimum cost subset of edges that satisfies a given set of pairwise connectivity requirements among the ver...
Julia Chuzhoy, Sanjeev Khanna
FOCS
2008
IEEE
15 years 4 months ago
Near-Optimal Sparse Recovery in the L1 Norm
Abstract— We consider the approximate sparse recovery problem, where the goal is to (approximately) recover a highdimensional vector x ∈ Rn from its lower-dimensional sketch Ax...
Piotr Indyk, Milan Ruzic