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Problemy Peredachi Informatsii, 2011, Volume 47, Issue 3, Pages 64–79
(Mi ppi2055)
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This article is cited in 13 scientific papers (total in 13 papers)
Large Systems
The tree nearest on average to a given set of trees
K. Yu. Gorbunov, V. A. Lyubetsky Kharkevich Institute for Information Transmission Problems,
Russian Academy of Sciences, Moscow
Abstract:
We formulate the problem of constructing a tree which is the nearest on average to a given set of trees. The notion of “nearest” is formulated based on a conception of events such that counting their number makes it possible to distinguish each of the given trees from the desired one. These events are called divergence, duplication, loss, and transfer; other lists of events can also be considered. We propose an algorithm that solves this problem in cubic time with respect to the input data size. We prove correctness of the algorithm and a cubic estimate for its complexity.
Received: 13.10.2010 Revised: 26.05.2011
Citation:
K. Yu. Gorbunov, V. A. Lyubetsky, “The tree nearest on average to a given set of trees”, Probl. Peredachi Inf., 47:3 (2011), 64–79; Problems Inform. Transmission, 47:3 (2011), 274–288
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https://www.mathnet.ru/eng/ppi2055 https://www.mathnet.ru/eng/ppi/v47/i3/p64
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Abstract page: | 339 | Full-text PDF : | 75 | References: | 60 | First page: | 5 |
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