On bounded diameter MST problem on random instances

Edward Kh Gimadi; Alexey M. Istomin; Ekaterina Yu Shin

On bounded diameter MST problem on random instances

Edward Kh Gimadi, Alexey M. Istomin, Ekaterina Yu Shin

Результат исследования: Научные публикации в периодических изданиях › статья по материалам конференции › рецензирование

Аннотация

We give an approximation deterministic algorithm for solving the Random bounded diameter minimum spanning tree (BDMST) problem on an undirected graph. The algorithm has a quadratic time complexity. A probabilistic analysis was performed under conditions that edge weights of given graph are identically independent uniformly distributed random variables on an interval (an;b_n). Conditions of asymptotic optimality are presented.

Язык оригинала	английский
Страницы (с-по)	159-168
Число страниц	10
Журнал	CEUR Workshop Proceedings
Том	2098
Состояние	Опубликовано - 1 янв 2018
Событие	2018 School-Seminar on Optimization Problems and their Applications, OPTA-SCL 2018 - Omsk, Российская Федерация Продолжительность: 8 июл 2018 → 14 июл 2018

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On bounded diameter MST problem on random instances. / Gimadi, Edward Kh; Istomin, Alexey M.; Shin, Ekaterina Yu.

В: CEUR Workshop Proceedings, Том 2098, 01.01.2018, стр. 159-168.

Результат исследования: Научные публикации в периодических изданиях › статья по материалам конференции › рецензирование

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N2 - We give an approximation deterministic algorithm for solving the Random bounded diameter minimum spanning tree (BDMST) problem on an undirected graph. The algorithm has a quadratic time complexity. A probabilistic analysis was performed under conditions that edge weights of given graph are identically independent uniformly distributed random variables on an interval (an;bn). Conditions of asymptotic optimality are presented.

AB - We give an approximation deterministic algorithm for solving the Random bounded diameter minimum spanning tree (BDMST) problem on an undirected graph. The algorithm has a quadratic time complexity. A probabilistic analysis was performed under conditions that edge weights of given graph are identically independent uniformly distributed random variables on an interval (an;bn). Conditions of asymptotic optimality are presented.

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KW - Minimum spanning tree

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KW - Probabilistic analysis

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