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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 1, Pages 16–23 (Mi chfmj2)  
Mathematics

On optimal marking algorithms

M. N. Alekseeva, F. M. Alekseevb

a Chelyabinsk State University, Chelyabinsk, Russia
b Moscow Institute of Physics and Technology, Dolgoprudnyj, Russia
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Abstract: The problem of choosing of the marking optimal order is considered as a special case of the traveling salesman problem. The algorithms for exact and approximate solutions search for the problem are proposed. The estimates of the algorithms complexity and possible approaches to their improvement are discussed.
Keywords: the traveling salesman problem, undirected weighted graph, minimum spanning tree, Hamiltonian path, dynamic programming, greedy algorithm, Prim’s algorithm, Kruskal’s algorithm.
Received: 18.02.2015
Revised: 02.02.2016
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: M. N. Alekseev, F. M. Alekseev, “On optimal marking algorithms”, Chelyab. Fiz.-Mat. Zh., 1:1 (2016), 16–23
Citation in format AMSBIB
\Bibitem{AleAle16}
\by M.~N.~Alekseev, F.~M.~Alekseev
\paper On optimal marking algorithms
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2016
\vol 1
\issue 1
\pages 16--23
\mathnet{http://mi.mathnet.ru/chfmj2}
\elib{https://elibrary.ru/item.asp?id=27541602}
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