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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156023 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862699874067152896 |
|---|---|
| author | Dudenko, M. Oliynyk, B. |
| author_facet | Dudenko, M. Oliynyk, B. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T16:37:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156023 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:37:12Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| 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 |
| spellingShingle | On unicyclic graphs of metric dimension 2 Dudenko, M. Oliynyk, B. |
| title | 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_short | On unicyclic graphs of metric dimension 2 |
| title_sort | on unicyclic graphs of metric dimension 2 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156023 |
| work_keys_str_mv | AT dudenkom onunicyclicgraphsofmetricdimension2 AT oliynykb onunicyclicgraphsofmetricdimension2 |