On unicyclic graphs of metric dimension 2

A metric basis S of a graph G is the subset of vertices of minimum cardinality such that all other vertices are uniquely determined by their distances to the vertices in S. The metric dimension of a graph G is the cardinality of the subset S. A unicyclic graph is a graph containing exactly one...

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Опубліковано в: :Algebra and Discrete Mathematics
Дата:2017
Автори: Dudenko, M., Oliynyk, B.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2017
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/156023
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:On unicyclic graphs of metric dimension 2 / M. Dudenko, B. Oliynyk // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 216-222. — Бібліогр.: 11 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-156023
record_format dspace
spelling Dudenko, M.
Oliynyk, B.
2019-06-17T18:58:30Z
2019-06-17T18:58:30Z
2017
On unicyclic graphs of metric dimension 2 / M. Dudenko, B. Oliynyk // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 216-222. — Бібліогр.: 11 назв. — англ.
1726-3255
2010 MSC:05C12.
https://nasplib.isofts.kiev.ua/handle/123456789/156023
A metric basis S of a graph G is the subset of vertices of minimum cardinality such that all other vertices are uniquely determined by their distances to the vertices in S. The metric dimension of a graph G is the cardinality of the subset S. A unicyclic graph is a graph containing exactly one cycle. The construction of a knitting unicyclic graph is introduced. Using this construction all unicyclic graphs with two main vertices and metric dimensions 2 are characterized.
en
Інститут прикладної математики і механіки НАН України
Algebra and Discrete Mathematics
On unicyclic graphs of metric dimension 2
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title On unicyclic graphs of metric dimension 2
spellingShingle On unicyclic graphs of metric dimension 2
Dudenko, M.
Oliynyk, B.
title_short On unicyclic graphs of metric dimension 2
title_full On unicyclic graphs of metric dimension 2
title_fullStr On unicyclic graphs of metric dimension 2
title_full_unstemmed On unicyclic graphs of metric dimension 2
title_sort on unicyclic graphs of metric dimension 2
author Dudenko, M.
Oliynyk, B.
author_facet Dudenko, M.
Oliynyk, B.
publishDate 2017
language English
container_title Algebra and Discrete Mathematics
publisher Інститут прикладної математики і механіки НАН України
format Article
description A metric basis S of a graph G is the subset of vertices of minimum cardinality such that all other vertices are uniquely determined by their distances to the vertices in S. The metric dimension of a graph G is the cardinality of the subset S. A unicyclic graph is a graph containing exactly one cycle. The construction of a knitting unicyclic graph is introduced. Using this construction all unicyclic graphs with two main vertices and metric dimensions 2 are characterized.
issn 1726-3255
url https://nasplib.isofts.kiev.ua/handle/123456789/156023
citation_txt On unicyclic graphs of metric dimension 2 / M. Dudenko, B. Oliynyk // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 216-222. — Бібліогр.: 11 назв. — англ.
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