NP-Completeness of Some Problems of Partitioning a Finite Set of Points in Euclidean Space into Balanced Clusters

A. V. Kel’manov; A. V. Pyatkin; V. I. Khandeev

doi:10.1134/S1064562419050028

NP-Completeness of Some Problems of Partitioning a Finite Set of Points in Euclidean Space into Balanced Clusters

A. V. Kel’manov, A. V. Pyatkin, V. I. Khandeev

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

Аннотация

We consider three related problems of partitioning an N-element set of points in d-dimensional Euclidean space into two clusters balancing the value of (1) the intracluster quadratic variance normalized by the cluster size in the first problem; (2) the intracluster quadratic variance in the second problem; and (3) the size-weighted intracluster quadratic variance in the third problem. The NP-completeness of all these problems is proved.

Язык оригинала	английский
Страницы (с-по)	416-419
Число страниц	4
Журнал	Doklady Mathematics
Том	100
Номер выпуска	2
DOI	https://doi.org/10.1134/S1064562419050028
Состояние	Опубликовано - 1 сен 2019

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10.1134/S1064562419050028

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NP-Completeness of Some Problems of Partitioning a Finite Set of Points in Euclidean Space into Balanced Clusters. / Kel’manov, A. V.; Pyatkin, A. V.; Khandeev, V. I.

В: Doklady Mathematics, Том 100, № 2, 01.09.2019, стр. 416-419.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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