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» A Lower Bound for Primality
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JACM
2002
122views more  JACM 2002»
13 years 9 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 7 months ago
An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance
We prove an optimal (n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal mu...
Amit Chakrabarti, Oded Regev
MASCOTS
2007
13 years 11 months ago
Distance Reduction in Mobile Wireless Communication: Lower Bound Analysis and Practical Attainment
— The transmission energy required for a wireless communication increases superlinearly with the communication distance. In a mobile wireless network, nodal movement can be explo...
Yu Dong, Wing-Kai Hon, David K. Y. Yau, Jren-Chit ...
EUROPAR
2009
Springer
14 years 4 months ago
A Lower Bound for Oblivious Dimensional Routing
In this work we consider deterministic oblivious dimensional routing algorithms on d-dimensional meshes. In oblivious dimensional routing algorithms the path of a packet depends o...
Andre Osterloh
COMPUTING
2007
78views more  COMPUTING 2007»
13 years 10 months ago
Calculating lower bounds for caching problems
We present a general method for computing lower bounds for various caching problems. We apply the method to two well known problems, companion caching and weighted caching. For we...
Leah Epstein, Rob van Stee