Determining the b-chromatic number of subdivision-vertex neighbourhood coronas
| Autor: | Falcón, Raúl M., Venkatachalam, M., Margaret, S. Julie |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $G\boxdot H$ or $G\boxdot K_n$, where $K_n$ is the complete graph of order $n$. It is also established for those graphs $K_n\boxdot G$ having $m$-degree not greater than $n+2$. All the proofs are accompanied by illustrative examples. Comment: 25 pages, 24 figures |
| Databáze: | arXiv |
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