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 con...
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Lugansk National Taras Shevchenko University
2017
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-4752017-07-02T21:58:40Z On unicyclic graphs of metric dimension \(2\) Dudenko, Margaryta Oliynyk, Bogdana distance, metric dimensions, unicyclic graph 05C12 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. Lugansk National Taras Shevchenko University 2017-07-03 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/475 Algebra and Discrete Mathematics; Vol 23, No 2 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/475/pdf Copyright (c) 2017 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2017-07-02T21:58:40Z |
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OJS |
| language |
English |
| topic |
distance metric dimensions unicyclic graph 05C12 |
| spellingShingle |
distance metric dimensions unicyclic graph 05C12 Dudenko, Margaryta Oliynyk, Bogdana On unicyclic graphs of metric dimension \(2\) |
| topic_facet |
distance metric dimensions unicyclic graph 05C12 |
| format |
Article |
| author |
Dudenko, Margaryta Oliynyk, Bogdana |
| author_facet |
Dudenko, Margaryta Oliynyk, Bogdana |
| author_sort |
Dudenko, Margaryta |
| title |
On unicyclic graphs of metric dimension \(2\) |
| 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 \(2\) |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2017 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/475 |
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AT dudenkomargaryta onunicyclicgraphsofmetricdimension2 AT oliynykbogdana onunicyclicgraphsofmetricdimension2 |
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2025-07-17T10:31:18Z |
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2025-07-17T10:31:18Z |
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1837890136134647808 |