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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 3, Pages 12–24 (Mi timm572)  
This article is cited in 22 scientific papers (total in 22 papers)

On the asymptotic accuracy of an algorithm for solving the $m$-PSP maximum problem in a multidimensional Euclidean space

A. E. Baburin, E. Kh. Gimadia

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (220 kB) Citations (22)
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Abstract: An efficient algorithm $\mathcal A$ with a guaranteed accuracy estimate is presented for solving the problem of finding several edge-disjoint Hamiltonian circuits (traveling salesman routes) of maximal weight in a complete weighted undirected graph in a multidimensional Euclidean space $\mathbb R^k$. The complexity of the algorithm is $O(n^3)$. The number of traveling salesman routes for which the algorithm is asymptotically exact is established.
Keywords: maximum traveling salesman problem, edge-disjoint Hamiltonian circuits, polynomial algorithm, asymptotic accuracy, multidimensional Euclidean space.
Received: 31.03.2010
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2011, Volume 272, Issue 1, Pages S1–S13
DOI: https://doi.org/10.1134/S0081543811020015
Bibliographic databases:
Document Type: Article
UDC: 519.8
Language: Russian
Citation: A. E. Baburin, E. Kh. Gimadi, “On the asymptotic accuracy of an algorithm for solving the $m$-PSP maximum problem in a multidimensional Euclidean space”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 3, 2010, 12–24; Proc. Steklov Inst. Math. (Suppl.), 272, suppl. 1 (2011), S1–S13
Citation in format AMSBIB
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\paper On the asymptotic accuracy of an algorithm for solving the $m$-PSP maximum problem in a~multidimensional Euclidean space
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\issue 3
\pages 12--24
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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