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APPROX
2009
Springer
153views Algorithms» more  APPROX 2009»
15 years 5 months ago
Average-Case Analyses of Vickrey Costs
We explore the average-case “Vickrey” cost of structures in a random setting: the Vickrey cost of a shortest path in a complete graph or digraph with random edge weights; the V...
Prasad Chebolu, Alan M. Frieze, Páll Melste...
COCO
2009
Springer
128views Algorithms» more  COCO 2009»
15 years 5 months ago
Inapproximability of Vertex Cover and Independent Set in Bounded Degree Graphs
We study the inapproximability of Vertex Cover and Independent Set on degree d graphs. We prove that: • Vertex Cover is Unique Games-hard to approximate to within a factor 2−(...
Per Austrin, Subhash Khot, Muli Safra
80
Voted
FSTTCS
2009
Springer
15 years 5 months ago
Donation Center Location Problem
We introduce and study the donation center location problem, which has an additional application in network testing and may also be of independent interest as a general graph-theor...
Chien-Chung Huang, Zoya Svitkina
CISS
2008
IEEE
15 years 5 months ago
Relay selection methods for wireless cooperative communications
— We study the problem of relay selection in a wireless cooperative network. Assuming a single source, a single destination, and N uniformly distributed candidate relays, we seek...
Seunghoon Nam, Mai Vu, Vahid Tarokh
85
Voted
FOCS
2008
IEEE
15 years 5 months ago
Hardness of Minimizing and Learning DNF Expressions
We study the problem of finding the minimum size DNF formula for a function f : {0, 1}d → {0, 1} given its truth table. We show that unless NP ⊆ DTIME(npoly(log n) ), there i...
Subhash Khot, Rishi Saket