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Diskretnyi Analiz i Issledovanie Operatsii, 2020, Volume 27, Issue 1, Pages 61–87
DOI: https://doi.org/10.33048/daio.2020.27.656 (Mi da944) 		 
The set of all values of the domination number in trees with a given degree sequence

A. D. Kurnosov

Moscow Institute of Physics and Technology, 9 Institutskii Lane, 9, 141700 Dolgoprudnyi, Russia
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DOI: https://doi.org/10.33048/daio.2020.27.656
Abstract: We find the set of all values of the domination number for a class of trees with some given vertex degrees that forms a segment of naturals. We prove that each intermediate value of the segment can be obtained by gradually changing the tree that minimizes the domination number and with the use of two special operations, so that the last tree maximizes the domination number. Illustr. 1, bibliogr. 12.
Keywords: degree sequence, tree, domination number, inverse problem, realization, realization tree.
Received: 06.04.2019
Revised: 21.08.2019
Accepted: 28.08.2019
English version:
Journal of Applied and Industrial Mathematics, 2020, Volume 14, Issue 1, Pages 131–147
DOI: https://doi.org/10.1134/S1990478920010135
Bibliographic databases:
Document Type: Article
UDC: 519.172.1
Language: Russian
Citation: A. D. Kurnosov, “The set of all values of the domination number in trees with a given degree sequence”, Diskretn. Anal. Issled. Oper., 27:1 (2020), 61–87; J. Appl. Industr. Math., 14:1 (2020), 131–147
Citation in format AMSBIB
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\by A.~D.~Kurnosov
\paper The set of all values of the domination number in~trees with~a~given degree sequence
\jour Diskretn. Anal. Issled. Oper.
\yr 2020
\vol 27
\issue 1
\pages 61--87
\mathnet{http://mi.mathnet.ru/da944}
\crossref{https://doi.org/10.33048/daio.2020.27.656}
\transl
\jour J. Appl. Industr. Math.
\yr 2020
\vol 14
\issue 1
\pages 131--147
\crossref{https://doi.org/10.1134/S1990478920010135}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85082390783}
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