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Average complexity of searching for identical objects in random nonuniform databases
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N. S. Kucherenko
Published/Copyright:
July 15, 2011
Abstract
In this paper we study the average complexity of optimal algorithms solving the problem of searching for identical objects (PSIO) for random databases. We describe and investigate classes of PSIOs for which the average complexity as a function of the database volume grows logarithmically. For such classes of problems we find exact asymptotics of the complexity. We also study the case where the complexity of the optimal algorithm averaged over the class of problems is bounded and construct a class of PSIOs such that the average complexity of the optimal algorithm is an unbounded function growing slower than the logarithm.
Received: 2010-10-13
Revised: 2011-02-07
Published Online: 2011-07-15
Published in Print: 2011-July
© de Gruyter 2011
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Articles in the same Issue
- Prohibitions in discrete probabilistic statistical problems
- An asynchronous double stochastic flow with initiation of superfluous events
- Asymptotic expansions for the distribution of the number of components in random mappings and partitions
- Symmetric linear spaces of graphs
- On automorphisms of commutative Moufang loops
- On the mixing properties of operations in a finite field
- The predicate method to construct the Post lattice
- Average complexity of searching for identical objects in random nonuniform databases
- On construction of efficient algorithms for solving systems of polynomial Boolean equations by testing a part of variables
