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Diskretnaya Matematika, 2014, Volume 26, Issue 3, Pages 65–75
DOI: https://doi.org/10.4213/dm1290 (Mi dm1290) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Generating functions and the Myerson vector in communication networks

V. V. Mazalova, L. I. Trukhinab

a Institute of Applied Mathematical Research, Karelian Research Centre, RAS
b Baikal National University of Economics and Law, Chita Branch
Full-text PDF (617 kB) Citations (18)
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DOI: https://doi.org/10.4213/dm1290
Abstract: Cooperative games on undirected graphs are considered. The characteristic function is defined in a specialway with due account of the number of links and distances between vertices (players).Animputation procedure is put forward for a tree graph, the resulting imputation is shown to agree with theMyerson vector. For its calculation the use of the generating function is proposed. It is shown that the results obtained may be extended to games with arbitrary graphs.
Keywords: cooperative games, imputation distribution, the Myerson vector.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-91158-ГФЕН
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Received: 23.07.2013
English version:
Discrete Mathematics and Applications, 2014, Volume 24, Issue 5, Pages 295–303
DOI: https://doi.org/10.1515/dma-2014-0026
Bibliographic databases:
Document Type: Article
UDC: 519.833.5
Language: Russian
Citation: V. V. Mazalov, L. I. Trukhina, “Generating functions and the Myerson vector in communication networks”, Diskr. Mat., 26:3 (2014), 65–75; Discrete Math. Appl., 24:5 (2014), 295–303
Citation in format AMSBIB
\Bibitem{MazTru14}
\by V.~V.~Mazalov, L.~I.~Trukhina
\paper Generating functions and the Myerson vector in communication networks
\jour Diskr. Mat.
\yr 2014
\vol 26
\issue 3
\pages 65--75
\mathnet{http://mi.mathnet.ru/dm1290}
\crossref{https://doi.org/10.4213/dm1290}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3309400}
\elib{https://elibrary.ru/item.asp?id=22834146}
\transl
\jour Discrete Math. Appl.
\yr 2014
\vol 24
\issue 5
\pages 295--303
\crossref{https://doi.org/10.1515/dma-2014-0026}
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  • https://www.mathnet.ru/eng/dm/v26/i3/p65
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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    Full-text PDF :265
    References:75
    First page:47
     
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