Topologies induced by graph metrics on the vertex set of graphs
| dc.contributor.author | Lalithambigai, K. | |
| dc.contributor.author | Gnanachandra, Paulraj | |
| dc.contributor.author | Jafari, Saeid | |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 12 | cs |
| dc.date.accessioned | 2023-06-26T09:02:09Z | |
| dc.date.available | 2023-06-26T09:02:09Z | |
| dc.date.issued | 2023 | cs |
| dc.description.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. | en |
| dc.format | text | cs |
| dc.format.extent | 73-88 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2023 vol. 12, č. 1, s. 73-88. ISSN 1805-3629 | cs |
| dc.identifier.doi | 10.13164/ma.2023.05 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/210634 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics for Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/12_1/ma_12_1_gnanachandra_et_al_final.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.subject | distance between vertices | en |
| dc.subject | eccentricity of a vertex | en |
| dc.subject | radius of a graph | en |
| dc.subject | topology | en |
| dc.subject | subbasis | en |
| dc.title | Topologies induced by graph metrics on the vertex set of graphs | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |
Files
Original bundle
1 - 1 of 1
Loading...
- Name:
- ma_12_1_gnanachandra_et_al_final.pdf
- Size:
- 680.35 KB
- Format:
- Adobe Portable Document Format