We study how many values of an unknown integer-valued function f one needs to know in order to ΓΏnd a local maximum of f. We consider functions deΓΏned on ΓΏnite subsets of discrete plane. We prove upper bounds for functions deΓΏned on rectangles and present lower bounds for functions deΓΏned on arbitrar
On the query complexity of finding a local maximum point
β Scribed by A.L. Rastsvetaev; L.D. Beklemishev
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 94 KB
- Volume
- 84
- Category
- Article
- ISSN
- 0020-0190
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β¦ Synopsis
We calculate the minimal number of queries sufficient to find a local maximum point of a function on a discrete interval, for a model with M parallel queries, M 1. Matching upper and lower bounds are obtained. The bounds are formulated in terms of certain Fibonacci type sequences of numbers.
π SIMILAR VOLUMES
This paper explores the bounded query complexity of approximating the size of the maximum clique in a graph (Clique Size) and the number of simultaneously satisfiable clauses in a 3CNF formula (MaxSat). The results in the paper show that for certain approximation factors, approximating Clique Size a
What is the smallest constant c so that the planar point location queries can be Ε½ . Ε½ . answered in c log n q o log n steps i.e., pointαline comparisons in the worst 2 Ε½ case? M. T. Goodrich, M. Orletsky, and K. Ramaiyer 1997, in ''Proc 8th ACM-Ε½ . . SIAM Symp on Discrete Algorithms SODA ,'' pp. 75