Topologies induced by graph metrics on the vertex set of graphs
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2023
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
This paper presents a method of constructing topologies on the vertex set of a graph G induced by open balls with respect to the graph metric viz. geodesic distance, detour distance, circular distance and circular D-distance on the vertex set of G. Also, this paper explores the topologies induced by eccentric neighbourhoods of vertices of a graph and presents the nature of topologies generated by various graph metrics on the vertex set of some standard graphs.
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Mathematics for Applications. 2023 vol. 12, č. 1, s. 73-88. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/12_1/ma_12_1_gnanachandra_et_al_final.pdf
http://ma.fme.vutbr.cz/archiv/12_1/ma_12_1_gnanachandra_et_al_final.pdf
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Peer-reviewed
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky