Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki
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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2010, Issue 1, Pages 48–57 (Mi vuu139)  
This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICS

Sufficient conditions of the stability of optimal route in the Travelling Salesman Problem in cases of a single vertex addition or substraction

E. E. Ivanko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (619 kB) Citations (4)
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Abstract: The sufficient conditions for the stability of optimal travelling salesman route in case of the insertion of a new vertex between two consequent vertices and in case of the substraction of one vertex are deduced. Number of experiments, demonstrating stability areas and vertices are suggested for the Euclidean plane.
Keywords: travelling salesman problem, stability.
Received: 01.12.2009
Document Type: Article
UDC: 519.168
MSC: 90C27
Language: Russian
Citation: E. E. Ivanko, “Sufficient conditions of the stability of optimal route in the Travelling Salesman Problem in cases of a single vertex addition or substraction”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 48–57
Citation in format AMSBIB
\Bibitem{Iva10}
\by E.~E.~Ivanko
\paper Sufficient conditions of the stability of optimal route in the Travelling Salesman Problem in cases of a~single vertex addition or substraction
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2010
\issue 1
\pages 48--57
\mathnet{http://mi.mathnet.ru/vuu139}
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  • https://www.mathnet.ru/eng/vuu/y2010/i1/p48
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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