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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive

Diskretn. Anal. Issled. Oper., 2015 Volume 22, Issue 4, Pages 5–20 (Mi da821)

This article is cited in 7 papers

Probabilistic analysis of an algorithm for the minimum spanning tree problem with diameter bounded from below

E. Kh. Gimadiab, E. Yu. Shinb

a Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4 Koptyug Ave., 630090 Novosibirsk, Russia

Abstract: Graphs with distance matrices are considered with weights of edges being independent random variables distributed on the interval unbounded from above. Probabilistic analysis of a polynomial algorithm is performed. In the cases of exponential and truncated normal distribution, conditions for asymptotic optimality are presented. Ill. 2, bibliogr. 17.

Keywords: spanning tree, polynomial algorithm, the probabilistic analysis, performance guarantee, asymptotic optimality.

UDC: 519.8

Received: 10.02.2015
Revised: 04.05.2015

DOI: 10.17377/daio.2015.22.474


 English version:
Journal of Applied and Industrial Mathematics, 2015, 9:4, 480–488

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