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FOCS

2006

IEEE

12 years 9 months ago
2006

IEEE

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...

FOCS

2006

IEEE

12 years 11 months ago
2006

IEEE

A local graph partitioning algorithm ﬁnds a cut near a speciﬁed starting vertex, with a running time that depends largely on the size of the small side of the cut, rather than...

FOCS

2006

IEEE

12 years 11 months ago
2006

IEEE

We introduce a game theoretic model of network formation in an effort to understand the complex system of business relationships between various Internet entities (e.g., Autonomou...

FOCS

2006

IEEE

12 years 11 months ago
2006

IEEE

An additive spanner of an unweighted undirected graph G with distortion d is a subgraph H such that for any two vertices u, v ∈ G, we have δH(u, v) ≤ δG(u, v) + d. For every...

FOCS

2006

IEEE

12 years 11 months ago
2006

IEEE

We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...

FOCS

2006

IEEE

12 years 11 months ago
2006

IEEE

How much can randomness help computation? Motivated by this general question and by volume computation, one of the few instances where randomness provably helps, we analyze a noti...

FOCS

2006

IEEE

12 years 11 months ago
2006

IEEE

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...

FOCS

2006

IEEE

12 years 11 months ago
2006

IEEE

FOCS

2006

IEEE

12 years 11 months ago
2006

IEEE

FOCS

2006

IEEE

12 years 11 months ago
2006

IEEE

We prove that the hit-and-run random walk is rapidly mixing for an arbitrary logconcave distribution starting from any point in the support. This extends the work of [26], where t...