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

dc.contributor.author	Dudenko, M.
dc.contributor.author	Oliynyk, B.
dc.date.accessioned	2023-02-27T16:01:35Z
dc.date.available	2023-02-27T16:01:35Z
dc.date.issued	2018
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2010 MSC: 05C12.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/188412
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	The authors thank to the International Charitable Foundation for Renaissance of the Kyiv-Mohyla Academy for the financial support of their research.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On unicyclic graphs of metric dimension 2 with vertices of degree 4	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA