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MST
2010
83views more  MST 2010»
13 years 3 months ago
Does the Polynomial Hierarchy Collapse if Onto Functions are Invertible?
The class TFNP, defined by Megiddo and Papadimitriou, consists of multivalued functions with values that are polynomially verifiable and guaranteed to exist. Do we have evidence ...
Harry Buhrman, Lance Fortnow, Michal Koucký...
CSR
2007
Springer
13 years 11 months ago
Inverting Onto Functions and Polynomial Hierarchy
The class TFNP, defined by Megiddo and Papadimitriou, consists of multivalued functions with values that are polynomially verifiable and guaranteed to exist. Do we have evidence ...
Harry Buhrman, Lance Fortnow, Michal Koucký...
ECCC
2007
122views more  ECCC 2007»
13 years 4 months ago
Infeasibility of Instance Compression and Succinct PCPs for NP
The OR-SAT problem asks, given Boolean formulae φ1, . . . , φm each of size at most n, whether at least one of the φi’s is satisfiable. We show that there is no reduction fr...
Lance Fortnow, Rahul Santhanam
FSTTCS
2010
Springer
13 years 2 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...