Chin, Angelina Yan Mui and Maimani, H. R. and Pournaki, M. R. and Sivagami, M. and Tamizh Chelvam, T.
(2022)
*Unitary Cayley graphs whose Roman domination numbers are at most four.*
AKCE International Journal of Graphs and Combinatorics, 19 (1).
pp. 36-40.
ISSN 0972-8600,
DOI https://doi.org/10.1080/09728600.2022.2041365.

## Abstract

Let R be a finite commutative ring with nonzero identity. The unitary Cayley graph of R is the graph obtained by letting all the elements of R to be the vertices and defining distinct vertices x and y to be adjacent if and only if x - y is a unit element of R. In this paper, we characterize all unitary Cayley graphs with Roman domination number at most four.

Item Type: | Article |
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Funders: | Universiti Malaya [Grant No: FG038-17AFR], CSIR Emeritus Scientist Scheme, Council of Scientific and Industrial Research, Government of India [Grant No: 21(1123)/20/EMR-II] |

Uncontrolled Keywords: | Unitary Cayley graph; Roman domination number; domination number; Primary; Secondary |

Subjects: | Q Science > QA Mathematics |

Divisions: | Faculty of Science > Institute of Mathematical Sciences |

Depositing User: | Ms. Juhaida Abd Rahim |

Date Deposited: | 29 Sep 2023 01:31 |

Last Modified: | 29 Sep 2023 01:31 |

URI: | http://eprints.um.edu.my/id/eprint/42977 |

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