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・ Necking
・ Necking (engineering)
・ Necklace
・ Necklace (combinatorics)
・ Necklace (disambiguation)
・ Necklace and Calabash
・ Necklace carpetshark
・ Necklace fern
・ Necklace Nebula
・ Necklace of Harmonia
・ Necklace of Precious Pearls
・ Necklace of the Stars
・ Necklace of Venus
・ Necklace pipistrelle
・ Necklace polynomial
Necklace problem
・ Necklace ring
・ Necklace Road
・ Necklace Road railway station
・ Necklace splitting problem
・ Necklaced spinetail
・ Necklacing
・ Neckline
・ Necks
・ Necks (EP)
・ Necktie
・ Necktie paradox
・ Necktie River
・ Necktie Second
・ Necktie social


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Necklace problem : ウィキペディア英語版
Necklace problem

The necklace problem is a problem in recreational mathematics, solved in the early 21st century.
== Formulation ==
The necklace problem involves the reconstruction of a necklace of ''n'' beads, each of which is either black or white, from partial information. A ''k''-configuration in a necklace is a subset of ''k'' positions in the necklace; two configurations are isomorphic if one can be obtained from the other by a rotation of the necklace. At stage ''k'' of the reconstruction process, the partial information available at that stage is a count, for each ''k''-configuration, of the number of ''k''-configurations that are isomorphic to it and that contain only black beads. The necklace problem is: given ''n'', how many stages are needed (in the worst case) in order to reconstruct the precise pattern of black and white beads in the original necklace?

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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