Volume 22, No 4, 2015, P. 5-20

UDC 519.8
Gimadi E. Kh., Shin E. Yu.
Probabilistic analysis of an algorithm for the minimal spanning tree problem with diameter bounded from below

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.

DOI: 10.17377/daio.2015.22.474

Edward Kh. Gimadi 1,2
Ekaterina Yu. Shin 1

1. Sobolev Institute of Mathematics
4 Koptyug Ave., 630090 Novosibirsk, Russia
2. Novosibirsk State University
2 Pirogov St., 630090 Novosibirsk, Russia
e-mail: gimadi@math.nsc.ru, Shinus90@yandex.ru

Received 10 February 2015
Revised 4 May 2015


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