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ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 5 months ago
Quantum Separation of Local Search and Fixed Point Computation
In this paper, we give a lower bound of (n(d-1)/2 ) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [1 : n]d . Our bound is near...
Xi Chen, Xiaoming Sun, Shang-Hua Teng
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 5 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
FOCS
2006
IEEE
13 years 11 months ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
AINA
2008
IEEE
13 years 11 months ago
Optimal Resource Discovery Paths of Gnutella2
This paper shows that the performance of peer-to-peer resource discovery algorithms is upper bounded by a k-Steiner minimum tree and proposes an algorithm locating near-optimal qu...
Mikko Vapa, Annemari Auvinen, Yevgeniy Ivanchenko,...