Domination on the vertices of labeled graphs

In this paper we introduce and study a domination relation on vertices of vertex-labeled graphs induced by vertex languages comparison. An effective method of checking this relation is developed. Properties of vertices maximal by this relation are investigated. It is shown that dominating vertices f...

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Veröffentlicht in:Algebra and Discrete Mathematics
Datum:2012
Hauptverfasser: Grunsky, I., Mikhaylova, I., Sapunov, S.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут прикладної математики і механіки НАН України 2012
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/152237
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Domination on the vertices of labeled graphs / I. Grunsky, I. Mikhaylova, S. Sapunov // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 174–184. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-152237
record_format dspace
spelling Grunsky, I.
Mikhaylova, I.
Sapunov, S.
2019-06-09T06:06:28Z
2019-06-09T06:06:28Z
2012
Domination on the vertices of labeled graphs / I. Grunsky, I. Mikhaylova, S. Sapunov // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 174–184. — Бібліогр.: 13 назв. — англ.
1726-3255
2010 MSC:68Q45, 68R10.
https://nasplib.isofts.kiev.ua/handle/123456789/152237
In this paper we introduce and study a domination relation on vertices of vertex-labeled graphs induced by vertex languages comparison. An effective method of checking this relation is developed. Properties of vertices maximal by this relation are investigated. It is shown that dominating vertices form a connected component of the graph.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
Domination on the vertices of labeled graphs
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Domination on the vertices of labeled graphs
spellingShingle Domination on the vertices of labeled graphs
Grunsky, I.
Mikhaylova, I.
Sapunov, S.
title_short Domination on the vertices of labeled graphs
title_full Domination on the vertices of labeled graphs
title_fullStr Domination on the vertices of labeled graphs
title_full_unstemmed Domination on the vertices of labeled graphs
title_sort domination on the vertices of labeled graphs
author Grunsky, I.
Mikhaylova, I.
Sapunov, S.
author_facet Grunsky, I.
Mikhaylova, I.
Sapunov, S.
publishDate 2012
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description In this paper we introduce and study a domination relation on vertices of vertex-labeled graphs induced by vertex languages comparison. An effective method of checking this relation is developed. Properties of vertices maximal by this relation are investigated. It is shown that dominating vertices form a connected component of the graph.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/152237
citation_txt Domination on the vertices of labeled graphs / I. Grunsky, I. Mikhaylova, S. Sapunov // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 174–184. — Бібліогр.: 13 назв. — англ.
work_keys_str_mv AT grunskyi dominationontheverticesoflabeledgraphs
AT mikhaylovai dominationontheverticesoflabeledgraphs
AT sapunovs dominationontheverticesoflabeledgraphs
first_indexed 2025-12-07T15:30:16Z
last_indexed 2025-12-07T15:30:16Z
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