Determining the b-chromatic number of subdivision-vertex neighbourhood coronas

Let G and H be two graphs, each one of them being a path, a cycle or a star. In this paper, we determine the b-chromatic number of every subdivision-vertex neighbourhood corona G H or G Kn, where Kn is the complete graph of order n. It is also established for those graphs Kn G having m-degree not gr...

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Detalhes bibliográficos
Autores: Falcón Ganfornina, Raúl Manuel, Venkatachalam, M., Margaret, S. Julie
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2024
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/162541
Acesso em linha:https://hdl.handle.net/11441/162541
https://doi.org/10.2478/auom-2024-0019
Access Level:Acceso aberto
Palavra-chave:b-chromatic number
Subdivision-vertex neighbourhood corona
Path
Cycle
Star
Complete graphs
Descrição
Resumo:Let G and H be two graphs, each one of them being a path, a cycle or a star. In this paper, we determine the b-chromatic number of every subdivision-vertex neighbourhood corona G H or G Kn, where Kn is the complete graph of order n. It is also established for those graphs Kn G having m-degree not greater than n + 2. All the proofs are accompanied by illustrative examples.