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періодичних видань НАН України
On unicyclic graphs of metric dimension 2 with vertices of degree 4
Репозиторій DSpace/Manakin
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On unicyclic graphs of metric dimension 2 with vertices of degree 4
Інший ID:
2010 MSC: 05C12.
Посилання:
On unicyclic graphs of metric dimension 2 with vertices of degree 4 / M. Dudenko, B. Oliynyk // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 2. — С. 256–269. — Бібліогр.: 13 назв. — англ.
Підтримка:
The authors thank to the International Charitable Foundation for Renaissance of the Kyiv-Mohyla Academy for the financial support of their research.
Дата:
2018
Переглядів:
147
Завантажень:
44
Анотація:
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 knittings are introduced. Using these constructions all unicyclic graphs of metric dimension 2 with vertices of degree 4 are characterized.
