On unicyclic graphs of metric dimension \(2\)

• Date: 2017
• Main Authors: Dudenko, Margaryta, Oliynyk, Bogdana
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2017
• Subjects: distance; metric dimensions; unicyclic graph; 05C12
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/475
• Journal Title: Algebra and Discrete Mathematics

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...