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FOCS
2006
IEEE
15 years 4 months ago
Approximate Min-Max Theorems of Steiner Rooted-Orientations of Hypergraphs
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Tamás Király, Lap Chi Lau
FOCS
2006
IEEE
15 years 4 months ago
Higher Lower Bounds for Near-Neighbor and Further Rich Problems
We convert cell-probe lower bounds for polynomial space into stronger lower bounds for near-linear space. Our technique applies to any lower bound proved through the richness meth...
Mihai Patrascu, Mikkel Thorup
FOCS
2006
IEEE
15 years 4 months ago
Approximation Algorithms for Non-Uniform Buy-at-Bulk Network Design
We consider approximation algorithms for non-uniform buy-at-bulk network design problems. The first nontrivial approximation algorithm for this problem is due to Charikar and Kar...
Chandra Chekuri, Mohammad Taghi Hajiaghayi, Guy Ko...
FOCS
2006
IEEE
15 years 1 months ago
Witnesses for non-satisfiability of dense random 3CNF formulas
We consider random 3CNF formulas with n variables and m clauses. It is well known that when m > cn (for a sufficiently large constant c), most formulas are not satisfiable. How...
Uriel Feige, Jeong Han Kim, Eran Ofek
FOCS
2006
IEEE
15 years 4 months ago
Better lossless condensers through derandomized curve samplers
Lossless condensers are unbalanced expander graphs, with expansion close to optimal. Equivalently, they may be viewed as functions that use a short random seed to map a source on ...
Amnon Ta-Shma, Christopher Umans