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COMPGEOM
2003
ACM
14 years 21 days ago
Local polyhedra and geometric graphs
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Jeff Erickson
CC
2007
Springer
121views System Software» more  CC 2007»
13 years 7 months ago
If NP Languages are Hard on the Worst-Case, Then it is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
STOC
2010
ACM
200views Algorithms» more  STOC 2010»
14 years 4 months ago
Hardness Amplification in Proof Complexity
We present a generic method for converting any family of unsatisfiable CNF formulas that require large resolution rank into CNF formulas whose refutation requires large rank for p...
Paul Beame, Trinh Huynh and Toniann Pitassi
CORR
2010
Springer
182views Education» more  CORR 2010»
13 years 7 months ago
Index coding via linear programming
Abstract Anna Blasiak Robert Kleinberg Eyal Lubetzky Index Coding has received considerable attention recently motivated in part by applications such as fast video-on-demand and e...
Anna Blasiak, Robert D. Kleinberg, Eyal Lubetzky
CSL
2007
Springer
14 years 1 months ago
Proofs, Programs and Abstract Complexity
Programs and Abstract Complexity A. Beckmann University of Wales Swansea Swansea, UK Axiom systems are ubiquitous in mathematical logic, one famous and well studied example being ï...
Arnold Beckmann