Local fractional metric dimension of rotationally symmetric planar graphs arisen from planar chorded cycles

In this paper, a new family of rotationally symmetric planar graphs is described based on an edge coalescence of planar chorded cycles. Their local fractional metric dimension is established for those ones arisen from chorded cycles of order up to six. Their asymptotic behaviour enables us to ensure...

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Detalles Bibliográficos
Autores: Ali, Shahbaz, Falcón Ganfornina, Raúl Manuel, Mahmood, Muhammad Khalid
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/149668
Acceso en línea:https://hdl.handle.net/11441/149668
Access Level:acceso abierto
Palabra clave:Local fractional metric dimension
Rotationally symmetric planar graph
Planar chorded cycle
Local resolving neighbourhood
Descripción
Sumario:In this paper, a new family of rotationally symmetric planar graphs is described based on an edge coalescence of planar chorded cycles. Their local fractional metric dimension is established for those ones arisen from chorded cycles of order up to six. Their asymptotic behaviour enables us to ensure the existence of new families of rotationally symmetric planar graphs with either constant or bounded local fractional dimension.