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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Bibliographic Details
Authors: Falcón Ganfornina, Raúl Manuel; Venkatachalam, M.; Margaret, S. Julie
Format: Article
Status:Published version
Publication date:2024
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/162541
Online Access:https://hdl.handle.net/11441/162541
https://doi.org/10.2478/auom-2024-0019
Access Level:Open access
Keyword:b-chromatic number
Subdivision-vertex neighbourhood corona
Path
Cycle
Star
Complete graphs
Description
Summary: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.