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Diskretnyi Analiz i Issledovanie Operatsii, 2020, Volume 27, Issue 2, Pages 90–116
DOI: https://doi.org/10.33048/daio.2020.27.639 (Mi da952) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the König graphs for a 5-path and its spanning supergraphs

D. B. Mokeevab, D. S. Malyshevb

a Lobachevsky State University of Nizhny Novgorod, 23 Gagarin Avenue, 603950 N. Novgorod, Russia
b National Research University “Higher School of Economics”, 25/12 Bolshaya Pechyorskaya Street, 603155 Nizhny Novgorod, Russia
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DOI: https://doi.org/10.33048/daio.2020.27.639
Abstract: We describe the hereditary class of graphs whose every subgraph has the property that the maximum number of disjoint 5-paths (paths on 5 vertices) is equal to the minimum size of the sets of vertices having nonempty intersection with the vertex set of each 5-path. We describe this class in terms of the “forbidden subgraphs” and give an alternative description, using some operations on pseudographs. Illustr. 2, bibliogr. 18.
Keywords: subgraph packing, vertex cover, five-vertex path, König graph.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-20001_мол_а_вед
This research is supported by the Russian Foundation for Basic Research (Project 18–31–20001-mol-a-ved).
Received: 13.11.2018
Revised: 31.01.2020
Accepted: 19.02.2020
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 2, Pages 367–382
DOI: https://doi.org/10.1134/S1990478920020143
Bibliographic databases:
Document Type: Article
UDC: 519.174.3
Language: Russian
Citation: D. B. Mokeev, D. S. Malyshev, “On the König graphs for a 5-path and its spanning supergraphs”, Diskretn. Anal. Issled. Oper., 27:2 (2020), 90–116; J. Appl. Industr. Math., 14:2 (2020), 367–382
Citation in format AMSBIB
\Bibitem{MokMal20}
\by D.~B.~Mokeev, D.~S.~Malyshev
\paper On the K\"onig graphs for a 5-path and~its~spanning~supergraphs
\jour Diskretn. Anal. Issled. Oper.
\yr 2020
\vol 27
\issue 2
\pages 90--116
\mathnet{http://mi.mathnet.ru/da952}
\crossref{https://doi.org/10.33048/daio.2020.27.639}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 2
\pages 367--382
\crossref{https://doi.org/10.1134/S1990478920020143}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85087743351}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретный анализ и исследование операций
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