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Diskretnaya Matematika, 2016, Volume 28, Issue 1, Pages 78–86
DOI: https://doi.org/10.4213/dm1358 (Mi dm1358) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Successive partition of edges of bipartite graph into matchings

A. M. Magomedova, T. A. Magomedovb

a Daghestan State University, Makhachkala
b Twitter Inc.
Full-text PDF (439 kB) Citations (1)
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DOI: https://doi.org/10.4213/dm1358
Abstract: It is assumed that the input data for scheduling a set of customers are given as a bipartite graph in some system of units. We consider the problem of composing a schedule of smallest length under the condition of continuous work with no downtime of each unit and their simultaneous actuation. Conditions are obtained for a partition of the edge set of a graph into matchings to form a schedule of the required form.
Keywords: graph, schedule, bipartite graph, matching, queuing.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2014/33
Даггосуниверситет 3с
This research was carried out with the financial support of 1) the Russian Ministry for Education and Science (Grant no. 2014/33), 2) Dagestan State University (Project no. 3c), 3) Department of Mathematics and Informatics of the Dagestan Scientific Center, Russian Academy of Sciences.
Received: 24.12.2014
English version:
Discrete Mathematics and Applications, 2016, Volume 26, Issue 6, Pages 347–353
DOI: https://doi.org/10.1515/dma-2016-0029
Bibliographic databases:
Document Type: Article
UDC: 519.177.3
Language: Russian
Citation: A. M. Magomedov, T. A. Magomedov, “Successive partition of edges of bipartite graph into matchings”, Diskr. Mat., 28:1 (2016), 78–86; Discrete Math. Appl., 26:6 (2016), 347–353
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/dm/v28/i1/p78
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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