On unicyclic graphs of metric dimension 2 with vertices of degree 4

We show that if \(G\) is a unicyclic graph with metric dimension \(2\) and \(\{a,b\}\) is a metric basis of \(G\) then the degree of any vertex \(v\) of \(G\)  is at most \(4\) and degrees of both \(a\) and \(b\) are at most \(2\). The constructions of unispider and semiunispider graphs  and their k...

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Datum:2019
Hauptverfasser: Dudenko, Marharyta, Oliynyk, Bogdana
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2019
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Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1265
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Назва журналу:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics