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» Complexity Considerations, cSAT Problem Lower Bound
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JC
2007
130views more  JC 2007»
13 years 7 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
ENTCS
2000
97views more  ENTCS 2000»
13 years 7 months ago
Complexity of Weak Bisimilarity and Regularity for BPA and BPP
It is an open problem whether weak bisimilarity is decidable for Basic Process Algebra (BPA) and Basic Parallel Processes (BPP). A PSPACE lower bound for BPA and NP lower bound fo...
Jirí Srba
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 9 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
WDAG
2007
Springer
82views Algorithms» more  WDAG 2007»
14 years 1 months ago
The Space Complexity of Unbounded Timestamps
The timestamp problem captures a fundamental aspect of asynchronous distributed computing. It allows processes to label events throughout the system with timestamps that provide in...
Faith Ellen, Panagiota Fatourou, Eric Ruppert
CORR
2008
Springer
101views Education» more  CORR 2008»
13 years 7 months ago
Sublinear Communication Protocols for Multi-Party Pointer Jumping and a Related Lower Bound
We study the one-way number-on-the-forehead (NOF) communication complexity of the k-layer pointer jumping problem with n vertices per layer. This classic problem, which has connec...
Joshua Brody, Amit Chakrabarti