dc.creator | Ali, Shahbaz | es |
dc.creator | Mahmmod, Muhammad Khalid | es |
dc.creator | Falcón Ganfornina, Raúl Manuel | es |
dc.date.accessioned | 2021-06-11T10:33:13Z | |
dc.date.available | 2021-06-11T10:33:13Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Ali, S., Mahmmod, M.K. y Falcón Ganfornina, R.M. (2021). A paradigmatic approach to investigate restricted hyper totient graphs. AIMS Mathematics, 6 (4), 3761-3771. | |
dc.identifier.issn | 2473-6988 | es |
dc.identifier.uri | https://hdl.handle.net/11441/111711 | |
dc.description.abstract | Nowadays, the problem of finding families of graphs for which one may ensure the
existence of a vertex-labeling and/or an edge-labeling based on a certain class of integers, constitutes
a challenge for researchers in both number and graph theory. In this paper, we focus on those vertexlabelings
whose induced multiplicative edge-labeling assigns hyper totient numbers to the edges of the
graph. In this way, we introduce and characterize the notions of hyper totient graph and restricted hyper
totient graph. In particular, we prove that every finite graph is a hyper totient graph and we determine
under which assumptions the following families of graphs constitute restricted hyper totient graphs:
complete graphs, star graphs, complete bipartite graphs, wheel graphs, cycles, paths, fan graphs and
friendship graphs. | es |
dc.description.sponsorship | Junta de Andalucía FQM-016 | es |
dc.format | application/pdf | es |
dc.format.extent | 11 | es |
dc.language.iso | eng | es |
dc.publisher | AIMS Press | es |
dc.relation.ispartof | AIMS Mathematics, 6 (4), 3761-3771. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Graph labeling | es |
dc.subject | Hyper totient number | es |
dc.subject | Hyper totient graph | es |
dc.subject | Restricted hyper totient graph | es |
dc.title | A paradigmatic approach to investigate restricted hyper totient graphs | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | FQM-016 | es |
dc.relation.publisherversion | https://www.aimspress.com/article/doi/10.3934/math.2021223 | es |
dc.identifier.doi | 10.3934/math.2021223 | es |
dc.journaltitle | AIMS Mathematics | es |
dc.publication.volumen | 6 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 3761 | es |
dc.publication.endPage | 3771 | es |
dc.contributor.funder | Junta de Andalucía | es |